2523253824 has 567 divisors, whose sum is σ = 9523534293. Its totient is φ = 636539904.

The previous prime is 2523253819. The next prime is 2523253861. The reversal of 2523253824 is 4283523252.

The square root of 2523253824 is 50232.

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

2523253824 is a `hidden beast` number, since 2 + 523 + 2 + 53 + 82 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 373262400 + 2149991424 = 19320^2 + 46368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (115200) is a multiple of the sum of its prime divisors (48).

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 80 ways as a sum of consecutive naturals, for example, 109706677 + ... + 109706699.

Almost surely, 2^2523253824 is an apocalyptic number.

2523253824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2523253824 is the 50232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2523253824

2523253824 is an abundant number, since it is smaller than the sum of its proper divisors (7000280469).

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

2523253824 is a wasteful number, since it uses less digits than its factorization.

2523253824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 48 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The cubic root of 2523253824 is about 1361.4038675370.

Multiplying 2523253824 by its sum of digits (36), we get a square (90837137664 = 301392²).

2523253824 divided by its sum of digits (36) gives a square (70090384 = 8372²).

The spelling of 2523253824 in words is "two billion, five hundred twenty-three million, two hundred fifty-three thousand, eight hundred twenty-four".