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2543052440 = 235177152673
BaseRepresentation
bin1001011110010011…
…1110011010011000
320120020012110010102
42113210332122120
520202010134230
61100202234532
7120006406025
oct22744763230
96506173112
102543052440
111095539a35
125ab7b5a48
13316b24476
141a1a5a54c
15ed3d2045
hex9793e698

2543052440 has 64 divisors (see below), whose sum is σ = 6143895360. Its totient is φ = 943882240.

The previous prime is 2543052409. The next prime is 2543052461. The reversal of 2543052440 is 442503452.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21944 + ... + 74616.

It is an arithmetic number, because the mean of its divisors is an integer number (95998365).

Almost surely, 22543052440 is an apocalyptic number.

2543052440 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 2543052440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071947680).

2543052440 is an abundant number, since it is smaller than the sum of its proper divisors (3600842920).

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

2543052440 is a wasteful number, since it uses less digits than its factorization.

2543052440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52772 (or 52768 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

The square root of 2543052440 is about 50428.6866773268. The cubic root of 2543052440 is about 1364.9553295726.

Adding to 2543052440 its reverse (442503452), we get a palindrome (2985555892).

The spelling of 2543052440 in words is "two billion, five hundred forty-three million, fifty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 71 85 136 142 170 284 340 355 568 680 710 1207 1420 2414 2840 4828 6035 9656 12070 24140 48280 52673 105346 210692 263365 421384 526730 895441 1053460 1790882 2106920 3581764 3739783 4477205 7163528 7479566 8954410 14959132 17908820 18698915 29918264 35817640 37397830 63576311 74795660 127152622 149591320 254305244 317881555 508610488 635763110 1271526220 2543052440