2632470516 has 144 divisors (see below), whose sum is σ = 7479134208. Its totient is φ = 804816000.

The previous prime is 2632470509. The next prime is 2632470521. The reversal of 2632470516 is 6150742362.

2632470516 is a `hidden beast` number, since 2 + 632 + 4 + 7 + 0 + 5 + 16 = 666.

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

It is a congruent number.

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, 2286541 + ... + 2287691.

It is an arithmetic number, because the mean of its divisors is an integer number (51938432).

Almost surely, 2^2632470516 is an apocalyptic number.

2632470516 is a gapful number since it is divisible by the number (26) 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 2632470516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739567104).

2632470516 is an abundant number, since it is smaller than the sum of its proper divisors (4846663692).

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

2632470516 is a wasteful number, since it uses less digits than its factorization.

2632470516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2632470516 is about 51307.6068044496. The cubic root of 2632470516 is about 1380.7694574663.

The spelling of 2632470516 in words is "two billion, six hundred thirty-two million, four hundred seventy thousand, five hundred sixteen".