2538144400 has 135 divisors (see below), whose sum is σ = 6732038523. Its totient is φ = 918931200.

The previous prime is 2538144383. The next prime is 2538144457. The reversal of 2538144400 is 44418352.

The square root of 2538144400 is 50380.

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

It can be written as a sum of positive squares in 4 ways, for example, as 346406544 + 2191737856 = 18612^2 + 46816^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 11083486 + ... + 11083714.

Almost surely, 2^2538144400 is an apocalyptic number.

2538144400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2538144400 is the 50380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2538144400

2538144400 is an abundant number, since it is smaller than the sum of its proper divisors (4193894123).

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

2538144400 is a wasteful number, since it uses less digits than its factorization.

2538144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The cubic root of 2538144400 is about 1364.0766519532.

The spelling of 2538144400 in words is "two billion, five hundred thirty-eight million, one hundred forty-four thousand, four hundred".