2516020467264 has 448 divisors, whose sum is σ = 7947818496000. Its totient is φ = 778070292480.

The previous prime is 2516020467251. The next prime is 2516020467281. The reversal of 2516020467264 is 4627640206152.

2516020467264 is a `hidden beast` number, since 2 + 5 + 160 + 2 + 0 + 467 + 26 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1251128019 + ... + 1251130029.

Almost surely, 2^{2516020467264} is an apocalyptic number.

2516020467264 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 2516020467264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973909248000).

2516020467264 is an abundant number, since it is smaller than the sum of its proper divisors (5431798028736).

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

2516020467264 is a wasteful number, since it uses less digits than its factorization.

2516020467264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2823 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2516020467264 in words is "two trillion, five hundred sixteen billion, twenty million, four hundred sixty-seven thousand, two hundred sixty-four".