2538210976 has 192 divisors, whose sum is σ = 6299596800. Its totient is φ = 1002516480.

The previous prime is 2538210973. The next prime is 2538210979. The reversal of 2538210976 is 6790128352.

It is an interprime number because it is at equal distance from previous prime (2538210973) and next prime (2538210979).

It is not an unprimeable number, because it can be changed into a prime (2538210973) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11382001 + ... + 11382223.

It is an arithmetic number, because the mean of its divisors is an integer number (32810400).

Almost surely, 2^2538210976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2538210976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149798400).

2538210976 is an abundant number, since it is smaller than the sum of its proper divisors (3761385824).

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

2538210976 is a wasteful number, since it uses less digits than its factorization.

2538210976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 2538210976 is about 50380.6607340555. The cubic root of 2538210976 is about 1364.0885785104.

The spelling of 2538210976 in words is "two billion, five hundred thirty-eight million, two hundred ten thousand, nine hundred seventy-six".