2631289920 has 448 divisors, whose sum is σ = 10449616896. Its totient is φ = 547061760.

The previous prime is 2631289897. The next prime is 2631289931. The reversal of 2631289920 is 299821362.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 3541069 + ... + 3541811.

Almost surely, 2^2631289920 is an apocalyptic number.

2631289920 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 2631289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5224808448).

2631289920 is an abundant number, since it is smaller than the sum of its proper divisors (7818326976).

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

2631289920 is a wasteful number, since it uses less digits than its factorization.

2631289920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 2631289920 is about 51296.1004365829. The cubic root of 2631289920 is about 1380.5630132864.

The spelling of 2631289920 in words is "two billion, six hundred thirty-one million, two hundred eighty-nine thousand, nine hundred twenty".