2520261546264 has 1024 divisors, whose sum is σ = 9678569472000. Its totient is φ = 587173847040.

The previous prime is 2520261546259. The next prime is 2520261546311. The reversal of 2520261546264 is 4626451620252.

2520261546264 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 2 + 6 + 15 + 4 + 626 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2425660257 + ... + 2425661295.

It is an arithmetic number, because the mean of its divisors is an integer number (9451728000).

Almost surely, 2^{2520261546264} is an apocalyptic number.

2520261546264 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 2520261546264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839284736000).

2520261546264 is an abundant number, since it is smaller than the sum of its proper divisors (7158307925736).

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

2520261546264 is a wasteful number, since it uses less digits than its factorization.

2520261546264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 2520261546264 in words is "two trillion, five hundred twenty billion, two hundred sixty-one million, five hundred forty-six thousand, two hundred sixty-four".