2538107813696 has 224 divisors, whose sum is σ = 6291591086592. Its totient is φ = 989087662080.

The previous prime is 2538107813623. The next prime is 2538107813741. The reversal of 2538107813696 is 6963187018352.

It is a happy number.

2538107813696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 701714480 + ... + 701718096.

It is an arithmetic number, because the mean of its divisors is an integer number (28087460208).

Almost surely, 2^{2538107813696} is an apocalyptic number.

2538107813696 is a gapful number since it is divisible by the number (26) 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 2538107813696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145795543296).

2538107813696 is an abundant number, since it is smaller than the sum of its proper divisors (3753483272896).

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

2538107813696 is a wasteful number, since it uses less digits than its factorization.

2538107813696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5417 (or 5407 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 59.

The spelling of 2538107813696 in words is "two trillion, five hundred thirty-eight billion, one hundred seven million, eight hundred thirteen thousand, six hundred ninety-six".