2631649920 has 128 divisors (see below), whose sum is σ = 8445600000. Its totient is φ = 696987648.

The previous prime is 2631649907. The next prime is 2631649939. The reversal of 2631649920 is 299461362.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281481 + ... + 290679.

It is an arithmetic number, because the mean of its divisors is an integer number (65981250).

Almost surely, 2^2631649920 is an apocalyptic number.

2631649920 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 2631649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222800000).

2631649920 is an abundant number, since it is smaller than the sum of its proper divisors (5813950080).

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

2631649920 is a wasteful number, since it uses less digits than its factorization.

2631649920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9370 (or 9358 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 2631649920 is about 51299.6093552378. The cubic root of 2631649920 is about 1380.6259710037.

The spelling of 2631649920 in words is "two billion, six hundred thirty-one million, six hundred forty-nine thousand, nine hundred twenty".