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2545350240 = 253510749559
BaseRepresentation
bin1001011110110110…
…1111011001100000
320120101112012010010
42113231233121200
520203102201430
61100323404520
7120035056116
oct22755573140
96511465103
102545350240
111096869344
125b0523740
1331744a304
141a2097ab6
15ed6d7cb0
hex97b6f660

2545350240 has 96 divisors (see below), whose sum is σ = 8092949760. Its totient is φ = 672402944.

The previous prime is 2545350229. The next prime is 2545350259. The reversal of 2545350240 is 420535452.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2545350198 and 2545350207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26581 + ... + 76139.

It is an arithmetic number, because the mean of its divisors is an integer number (84301560).

Almost surely, 22545350240 is an apocalyptic number.

2545350240 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 2545350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046474880).

2545350240 is an abundant number, since it is smaller than the sum of its proper divisors (5547599520).

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

2545350240 is a wasteful number, since it uses less digits than its factorization.

2545350240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49684 (or 49676 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 2545350240 is about 50451.4642007544. The cubic root of 2545350240 is about 1365.3663120781.

Adding to 2545350240 its reverse (420535452), we get a palindrome (2965885692).

The spelling of 2545350240 in words is "two billion, five hundred forty-five million, three hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 107 120 160 214 240 321 428 480 535 642 856 1070 1284 1605 1712 2140 2568 3210 3424 4280 5136 6420 8560 10272 12840 17120 25680 49559 51360 99118 148677 198236 247795 297354 396472 495590 594708 743385 792944 991180 1189416 1486770 1585888 1982360 2378832 2973540 3964720 4757664 5302813 5947080 7929440 10605626 11894160 15908439 21211252 23788320 26514065 31816878 42422504 53028130 63633756 79542195 84845008 106056260 127267512 159084390 169690016 212112520 254535024 318168780 424225040 509070048 636337560 848450080 1272675120 2545350240