2538396900864 has 600 divisors, whose sum is σ = 8615489901480. Its totient is φ = 742644080640.

The previous prime is 2538396900863. The next prime is 2538396900887. The reversal of 2538396900864 is 4680096938352.

2538396900864 is a `hidden beast` number, since 2 + 5 + 383 + 96 + 90 + 0 + 86 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538396900863) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 145516527 + ... + 145533969.

Almost surely, 2^{2538396900864} is an apocalyptic number.

2538396900864 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 2538396900864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4307744950740).

2538396900864 is an abundant number, since it is smaller than the sum of its proper divisors (6077093000616).

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

2538396900864 is a wasteful number, since it uses less digits than its factorization.

2538396900864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17524 (or 17488 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 2538396900864 in words is "two trillion, five hundred thirty-eight billion, three hundred ninety-six million, nine hundred thousand, eight hundred sixty-four".