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2534211640 = 2351941167487
BaseRepresentation
bin1001011100001101…
…0000000000111000
320112121120021211101
42113003100000320
520142224233030
61055244541144
7116541305062
oct22703200070
96477507741
102534211640
111090550794
125a88517b4
1331504a41c
141a07d8732
15ec7377ca
hex970d0038

2534211640 has 128 divisors (see below), whose sum is σ = 6197990400. Its totient is φ = 929387520.

The previous prime is 2534211623. The next prime is 2534211643. The reversal of 2534211640 is 461124352.

It is a super-2 number, since 2×25342116402 = 12844457272622979200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2534211599 and 2534211608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2534211643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5203477 + ... + 5203963.

It is an arithmetic number, because the mean of its divisors is an integer number (48421800).

Almost surely, 22534211640 is an apocalyptic number.

2534211640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2534211640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098995200).

2534211640 is an abundant number, since it is smaller than the sum of its proper divisors (3663778760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2534211640 is a wasteful number, since it uses less digits than its factorization.

2534211640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2534211640 is about 50340.9539043511. The cubic root of 2534211640 is about 1363.3717591421.

Adding to 2534211640 its reverse (461124352), we get a palindrome (2995335992).

The spelling of 2534211640 in words is "two billion, five hundred thirty-four million, two hundred eleven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 41 76 82 95 152 164 167 190 205 328 334 380 410 487 668 760 779 820 835 974 1336 1558 1640 1670 1948 2435 3116 3173 3340 3895 3896 4870 6232 6346 6680 6847 7790 9253 9740 12692 13694 15580 15865 18506 19480 19967 25384 27388 31160 31730 34235 37012 39934 46265 54776 63460 68470 74024 79868 81329 92530 99835 126920 130093 136940 159736 162658 185060 199670 260186 273880 325316 370120 379373 399340 406645 520372 650465 650632 758746 798680 813290 1040744 1300930 1517492 1545251 1626580 1896865 2601860 3034984 3090502 3253160 3334489 3793730 5203720 6181004 6668978 7587460 7726255 12362008 13337956 15174920 15452510 16672445 26675912 30905020 33344890 61810040 63355291 66689780 126710582 133379560 253421164 316776455 506842328 633552910 1267105820 2534211640