2629987460 has 48 divisors (see below), whose sum is σ = 5650041600. Its totient is φ = 1027868160.

The previous prime is 2629987453. The next prime is 2629987471. The reversal of 2629987460 is 647899262.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 647516 + ... + 651564.

It is an arithmetic number, because the mean of its divisors is an integer number (117709200).

Almost surely, 2^2629987460 is an apocalyptic number.

2629987460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2629987460 is an abundant number, since it is smaller than the sum of its proper divisors (3020054140).

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

2629987460 is a wasteful number, since it uses less digits than its factorization.

2629987460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4796 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 53.

The square root of 2629987460 is about 51283.4033582016. The cubic root of 2629987460 is about 1380.3351877809.

The spelling of 2629987460 in words is "two billion, six hundred twenty-nine million, nine hundred eighty-seven thousand, four hundred sixty".