2640522528 has 288 divisors, whose sum is σ = 8837652096. Its totient is φ = 732340224.

The previous prime is 2640522517. The next prime is 2640522541. The reversal of 2640522528 is 8252250462.

2640522528 is a `hidden beast` number, since 2 + 6 + 405 + 225 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2640522492 and 2640522501.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15263050 + ... + 15263222.

It is an arithmetic number, because the mean of its divisors is an integer number (30686292).

Almost surely, 2^2640522528 is an apocalyptic number.

2640522528 is a gapful number since it is divisible by the number (28) 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 2640522528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4418826048).

2640522528 is an abundant number, since it is smaller than the sum of its proper divisors (6197129568).

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

2640522528 is a wasteful number, since it uses less digits than its factorization.

2640522528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2640522528 is about 51386.0149067818. The cubic root of 2640522528 is about 1382.1758240685.

The spelling of 2640522528 in words is "two billion, six hundred forty million, five hundred twenty-two thousand, five hundred twenty-eight".