2538134272 has 72 divisors (see below), whose sum is σ = 5597829216. Its totient is φ = 1142439936.

The previous prime is 2538134231. The next prime is 2538134281. The reversal of 2538134272 is 2724318352.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87418 + ... + 112774.

It is an arithmetic number, because the mean of its divisors is an integer number (77747628).

Almost surely, 2^2538134272 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 2538134272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798914608).

2538134272 is an abundant number, since it is smaller than the sum of its proper divisors (3059694944).

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

2538134272 is a wasteful number, since it uses less digits than its factorization.

2538134272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25413 (or 25399 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 2538134272 is about 50379.8994838219. The cubic root of 2538134272 is about 1364.0748375848.

The spelling of 2538134272 in words is "two billion, five hundred thirty-eight million, one hundred thirty-four thousand, two hundred seventy-two".