2524438344252 has 192 divisors, whose sum is σ = 6561950169600. Its totient is φ = 755225856000.

The previous prime is 2524438344223. The next prime is 2524438344271.

2524438344252 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2524438344252² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 611390124 + ... + 611394252.

It is an arithmetic number, because the mean of its divisors is an integer number (34176823800).

Almost surely, 2^{2524438344252} is an apocalyptic number.

2524438344252 is a gapful number since it is divisible by the number (22) 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 2524438344252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3280975084800).

2524438344252 is an abundant number, since it is smaller than the sum of its proper divisors (4037511825348).

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

2524438344252 is a wasteful number, since it uses less digits than its factorization.

2524438344252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4649 (or 4625 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 48.

The spelling of 2524438344252 in words is "two trillion, five hundred twenty-four billion, four hundred thirty-eight million, three hundred forty-four thousand, two hundred fifty-two".