2538413697600 has 1701 divisors, whose sum is σ = 10685001224443. Its totient is φ = 571017216000.

The previous prime is 2538413697559. The next prime is 2538413697601. The reversal of 2538413697600 is 67963148352.

The square root of 2538413697600 is 1593240.

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

2538413697600 is a `hidden beast` number, since 2 + 538 + 4 + 1 + 36 + 9 + 76 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59376043584 + 2479037654016 = 243672^2 + 1574496^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2538413697601) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 35752305565 + ... + 35752305635.

It is a 1-persistent number, because it is pandigital, but 2⋅2538413697600 = 5076827395200 is not.

Almost surely, 2^{2538413697600} is an apocalyptic number.

2538413697600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2538413697600 is the 1593240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2538413697600

2538413697600 is an abundant number, since it is smaller than the sum of its proper divisors (8146587526843).

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

2538413697600 is a wasteful number, since it uses less digits than its factorization.

2538413697600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2538413697600 in words is "two trillion, five hundred thirty-eight billion, four hundred thirteen million, six hundred ninety-seven thousand, six hundred".