2632651560 has 384 divisors, whose sum is σ = 10821807360. Its totient is φ = 539136000.

The previous prime is 2632651543. The next prime is 2632651577. The reversal of 2632651560 is 651562362.

It is a happy number.

2632651560 is a `hidden beast` number, since 2 + 6 + 32 + 65 + 1 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2632651543) and next prime (2632651577).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2022910 + ... + 2024210.

It is an arithmetic number, because the mean of its divisors is an integer number (28181790).

Almost surely, 2^2632651560 is an apocalyptic number.

2632651560 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 2632651560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410903680).

2632651560 is an abundant number, since it is smaller than the sum of its proper divisors (8189155800).

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

2632651560 is a wasteful number, since it uses less digits than its factorization.

2632651560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2632651560 is about 51309.3710739081. The cubic root of 2632651560 is about 1380.8011101532.

The spelling of 2632651560 in words is "two billion, six hundred thirty-two million, six hundred fifty-one thousand, five hundred sixty".