2632210560 has 512 divisors, whose sum is σ = 10904371200. Its totient is φ = 587575296.

The previous prime is 2632210547. The next prime is 2632210577. The reversal of 2632210560 is 650122362.

2632210560 is a `hidden beast` number, since 2 + 632 + 21 + 0 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5684889 + ... + 5685351.

It is an arithmetic number, because the mean of its divisors is an integer number (21297600).

Almost surely, 2^2632210560 is an apocalyptic number.

2632210560 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 2632210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5452185600).

2632210560 is an abundant number, since it is smaller than the sum of its proper divisors (8272160640).

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

2632210560 is a wasteful number, since it uses less digits than its factorization.

2632210560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2632210560 is about 51305.0734333360. The cubic root of 2632210560 is about 1380.7240057232.

The spelling of 2632210560 in words is "two billion, six hundred thirty-two million, two hundred ten thousand, five hundred sixty".