2528632368252 has 96 divisors (see below), whose sum is σ = 6695743521600. Its totient is φ = 824951402496.

The previous prime is 2528632368239. The next prime is 2528632368253.

2528632368252 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 6 + 323 + 68 + 252 = 666.

2528632368252 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2528632368253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1801068 + ... + 2881164.

It is an arithmetic number, because the mean of its divisors is an integer number (69747328350).

Almost surely, 2^{2528632368252} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2528632368252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347871760800).

2528632368252 is an abundant number, since it is smaller than the sum of its proper divisors (4167111153348).

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

2528632368252 is a wasteful number, since it uses less digits than its factorization.

2528632368252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080572 (or 1080564 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 2528632368252 in words is "two trillion, five hundred twenty-eight billion, six hundred thirty-two million, three hundred sixty-eight thousand, two hundred fifty-two".