2515402734264 has 640 divisors, whose sum is σ = 8393349888000. Its totient is φ = 688974004224.

The previous prime is 2515402734209. The next prime is 2515402734307. The reversal of 2515402734264 is 4624372045152.

2515402734264 is a `hidden beast` number, since 2 + 5 + 1 + 540 + 2 + 7 + 3 + 42 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3271004472 + ... + 3271005240.

It is an arithmetic number, because the mean of its divisors is an integer number (13114609200).

Almost surely, 2^{2515402734264} is an apocalyptic number.

2515402734264 is a gapful number since it is divisible by the number (24) 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 2515402734264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196674944000).

2515402734264 is an abundant number, since it is smaller than the sum of its proper divisors (5877947153736).

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

2515402734264 is a wasteful number, since it uses less digits than its factorization.

2515402734264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 2515402734264 in words is "two trillion, five hundred fifteen billion, four hundred two million, seven hundred thirty-four thousand, two hundred sixty-four".