2538085872 has 80 divisors (see below), whose sum is σ = 7532414720. Its totient is φ = 721391616.

The previous prime is 2538085861. The next prime is 2538085883. The reversal of 2538085872 is 2785808352.

It is an interprime number because it is at equal distance from previous prime (2538085861) and next prime (2538085883).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45279 + ... + 84417.

It is an arithmetic number, because the mean of its divisors is an integer number (94155184).

Almost surely, 2^2538085872 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 2538085872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766207360).

2538085872 is an abundant number, since it is smaller than the sum of its proper divisors (4994328848).

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

2538085872 is a wasteful number, since it uses less digits than its factorization.

2538085872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39350 (or 39344 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The square root of 2538085872 is about 50379.4191312286. The cubic root of 2538085872 is about 1364.0661669585.

The spelling of 2538085872 in words is "two billion, five hundred thirty-eight million, eighty-five thousand, eight hundred seventy-two".