2523863760264 has 864 divisors, whose sum is σ = 9140994495360. Its totient is φ = 614517995520.

The previous prime is 2523863760263. The next prime is 2523863760343. The reversal of 2523863760264 is 4620673683252.

2523863760264 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 8 + 6 + 376 + 0 + 264 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2523863760264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2523863760263) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 16075565274 + ... + 16075565430.

It is an arithmetic number, because the mean of its divisors is an integer number (10579854740).

Almost surely, 2^{2523863760264} is an apocalyptic number.

2523863760264 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 2523863760264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570497247680).

2523863760264 is an abundant number, since it is smaller than the sum of its proper divisors (6617130735096).

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

2523863760264 is a wasteful number, since it uses less digits than its factorization.

2523863760264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 2523863760264 in words is "two trillion, five hundred twenty-three billion, eight hundred sixty-three million, seven hundred sixty thousand, two hundred sixty-four".