2538153024 has 112 divisors (see below), whose sum is σ = 7562551296. Its totient is φ = 744307200.

The previous prime is 2538152999. The next prime is 2538153041. The reversal of 2538153024 is 4203518352.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46089 + ... + 84855.

Almost surely, 2^2538153024 is an apocalyptic number.

2538153024 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 2538153024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781275648).

2538153024 is an abundant number, since it is smaller than the sum of its proper divisors (5024398272).

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

2538153024 is a wasteful number, since it uses less digits than its factorization.

2538153024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38824 (or 38814 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 2538153024 is about 50380.0855894469. The cubic root of 2538153024 is about 1364.0781968855.

The spelling of 2538153024 in words is "two billion, five hundred thirty-eight million, one hundred fifty-three thousand, twenty-four".