2643631560 has 128 divisors (see below), whose sum is σ = 8999769600. Its totient is φ = 689955840.

The previous prime is 2643631531. The next prime is 2643631567. The reversal of 2643631560 is 651363462.

2643631560 is a `hidden beast` number, since 2 + 64 + 3 + 6 + 31 + 560 = 666.

2643631560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2643631567) 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, 24720 + ... + 76800.

It is an arithmetic number, because the mean of its divisors is an integer number (70310700).

Almost surely, 2^2643631560 is an apocalyptic number.

2643631560 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 2643631560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499884800).

2643631560 is an abundant number, since it is smaller than the sum of its proper divisors (6356138040).

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

2643631560 is a wasteful number, since it uses less digits than its factorization.

2643631560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52148 (or 52138 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2643631560 is about 51416.2577401351. The cubic root of 2643631560 is about 1382.7180833323.

The spelling of 2643631560 in words is "two billion, six hundred forty-three million, six hundred thirty-one thousand, five hundred sixty".