2629736984 has 16 divisors (see below), whose sum is σ = 5635150800. Its totient is φ = 1127030112.

The previous prime is 2629736957. The next prime is 2629736999. The reversal of 2629736984 is 4896379262.

2629736984 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 (56), and also a Moran number because the ratio is a prime number: 46959589 = 2629736984 / (2 + 6 + 2 + 9 + 7 + 3 + 6 + 9 + 8 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23479739 + ... + 23479850.

It is an arithmetic number, because the mean of its divisors is an integer number (352196925).

Almost surely, 2^2629736984 is an apocalyptic number.

It is an amenable number.

2629736984 is an abundant number, since it is smaller than the sum of its proper divisors (3005413816).

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

2629736984 is a wasteful number, since it uses less digits than its factorization.

2629736984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46959602 (or 46959598 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 56.

The square root of 2629736984 is about 51280.9612234404. The cubic root of 2629736984 is about 1380.2913660494.

The spelling of 2629736984 in words is "two billion, six hundred twenty-nine million, seven hundred thirty-six thousand, nine hundred eighty-four".