2524634364252 has 576 divisors, whose sum is σ = 8467353538560. Its totient is φ = 568606832640.

The previous prime is 2524634364221. The next prime is 2524634364253.

2524634364252 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2524634364253) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 141768733 + ... + 141786539.

It is an arithmetic number, because the mean of its divisors is an integer number (14700266560).

Almost surely, 2^{2524634364252} is an apocalyptic number.

2524634364252 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 2524634364252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233676769280).

2524634364252 is an abundant number, since it is smaller than the sum of its proper divisors (5942719174308).

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

2524634364252 is a wasteful number, since it uses less digits than its factorization.

2524634364252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17922 (or 17909 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 48.

The spelling of 2524634364252 in words is "two trillion, five hundred twenty-four billion, six hundred thirty-four million, three hundred sixty-four thousand, two hundred fifty-two".