2629937120 has 48 divisors (see below), whose sum is σ = 6241173120. Its totient is φ = 1047243264.

The previous prime is 2629937099. The next prime is 2629937137. The reversal of 2629937120 is 217399262.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1175 + ... + 72534.

It is an arithmetic number, because the mean of its divisors is an integer number (130024440).

Almost surely, 2^2629937120 is an apocalyptic number.

2629937120 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 2629937120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120586560).

2629937120 is an abundant number, since it is smaller than the sum of its proper divisors (3611236000).

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

2629937120 is a wasteful number, since it uses less digits than its factorization.

2629937120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73947 (or 73939 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The square root of 2629937120 is about 51282.9125537932. The cubic root of 2629937120 is about 1380.3263808293.

The spelling of 2629937120 in words is "two billion, six hundred twenty-nine million, nine hundred thirty-seven thousand, one hundred twenty".