2688631920 has 480 divisors, whose sum is σ = 10483287360. Its totient is φ = 629544960.

The previous prime is 2688631919. The next prime is 2688632003. The reversal of 2688631920 is 291368862.

2688631920 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 631 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14854230 + ... + 14854410.

It is an arithmetic number, because the mean of its divisors is an integer number (21840182).

Almost surely, 2^2688631920 is an apocalyptic number.

2688631920 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 2688631920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241643680).

2688631920 is an abundant number, since it is smaller than the sum of its proper divisors (7794655440).

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

2688631920 is a wasteful number, since it uses less digits than its factorization.

2688631920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2688631920 is about 51852.0194399408. The cubic root of 2688631920 is about 1390.5196063003.

The spelling of 2688631920 in words is "two billion, six hundred eighty-eight million, six hundred thirty-one thousand, nine hundred twenty".