2521252540 has 48 divisors (see below), whose sum is σ = 5470553088. Its totient is φ = 975449664.

The previous prime is 2521252499. The next prime is 2521252553. The reversal of 2521252540 is 452521252.

It is a junction number, because it is equal to n+sod(n) for n = 2521252499 and 2521252508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74349 + ... + 102811.

It is an arithmetic number, because the mean of its divisors is an integer number (113969856).

Almost surely, 2^2521252540 is an apocalyptic number.

2521252540 is a gapful number since it is divisible by the number (20) 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 2521252540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735276544).

2521252540 is an abundant number, since it is smaller than the sum of its proper divisors (2949300548).

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

2521252540 is a wasteful number, since it uses less digits than its factorization.

2521252540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28618 (or 28616 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The square root of 2521252540 is about 50212.0756392324. The cubic root of 2521252540 is about 1361.0438460991.

Adding to 2521252540 its reverse (452521252), we get a palindrome (2973773792).

The spelling of 2521252540 in words is "two billion, five hundred twenty-one million, two hundred fifty-two thousand, five hundred forty".