2528682624 has 320 divisors, whose sum is σ = 8247171240. Its totient is φ = 764411904.

The previous prime is 2528682623. The next prime is 2528682631. The reversal of 2528682624 is 4262868252.

2528682624 is a `hidden beast` number, since 2 + 528 + 68 + 2 + 62 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2404137024 + 124545600 = 49032^2 + 11160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2528682624.

It is not an unprimeable number, because it can be changed into a prime (2528682623) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9839104 + ... + 9839360.

Almost surely, 2^2528682624 is an apocalyptic number.

2528682624 is a gapful number since it is divisible by the number (24) 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 2528682624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123585620).

2528682624 is an abundant number, since it is smaller than the sum of its proper divisors (5718488616).

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

2528682624 is a wasteful number, since it uses less digits than its factorization.

2528682624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 348 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 2528682624 is about 50286.0082329071. The cubic root of 2528682624 is about 1362.3795251219.

The spelling of 2528682624 in words is "two billion, five hundred twenty-eight million, six hundred eighty-two thousand, six hundred twenty-four".