2538950544 has 405 divisors, whose sum is σ = 8626199283. Its totient is φ = 696563712.

The previous prime is 2538950537. The next prime is 2538950581. The reversal of 2538950544 is 4450598352.

The square root of 2538950544 is 50388.

It is a perfect power (a square), and thus also a powerful number.

2538950544 is a `hidden beast` number, since 2 + 53 + 8 + 9 + 50 + 544 = 666.

2538950544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 22924944 + 2516025600 = 4788^2 + 50160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2538950544.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 133628967 + ... + 133628985.

Almost surely, 2^2538950544 is an apocalyptic number.

2538950544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2538950544 is the 50388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2538950544

2538950544 is an abundant number, since it is smaller than the sum of its proper divisors (6087248739).

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

2538950544 is a wasteful number, since it uses less digits than its factorization.

2538950544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The cubic root of 2538950544 is about 1364.2210521706.

The spelling of 2538950544 in words is "two billion, five hundred thirty-eight million, nine hundred fifty thousand, five hundred forty-four".