2632688640 has 528 divisors, whose sum is σ = 10014251520. Its totient is φ = 637009920.

The previous prime is 2632688633. The next prime is 2632688647. The reversal of 2632688640 is 468862362.

2632688640 is a `hidden beast` number, since 2 + 632 + 6 + 8 + 8 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2632688633) and next prime (2632688647).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2632688647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27141072 + ... + 27141168.

Almost surely, 2^2632688640 is an apocalyptic number.

2632688640 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 2632688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007125760).

2632688640 is an abundant number, since it is smaller than the sum of its proper divisors (7381562880).

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

2632688640 is a wasteful number, since it uses less digits than its factorization.

2632688640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 2632688640 is about 51309.7324101383. The cubic root of 2632688640 is about 1380.8075928271.

The spelling of 2632688640 in words is "two billion, six hundred thirty-two million, six hundred eighty-eight thousand, six hundred forty".