2688537920 has 28 divisors (see below), whose sum is σ = 6402081684. Its totient is φ = 1075415040.

The previous prime is 2688537881. The next prime is 2688537949. The reversal of 2688537920 is 297358862.

It can be written as a sum of positive squares in 2 ways, for example, as 379158784 + 2309379136 = 19472^2 + 48056^2 .

It is a super-2 number, since 2×2688537920² = 14456472294555852800, which contains 22 as substring.

It is a zygodrome in base 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, 4200521 + ... + 4201160.

Almost surely, 2^2688537920 is an apocalyptic number.

2688537920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2688537920 is an abundant number, since it is smaller than the sum of its proper divisors (3713543764).

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

2688537920 is an equidigital number, since it uses as much as digits as its factorization.

2688537920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8401698 (or 8401688 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The square root of 2688537920 is about 51851.1130063762. The cubic root of 2688537920 is about 1390.5034009872.

The spelling of 2688537920 in words is "two billion, six hundred eighty-eight million, five hundred thirty-seven thousand, nine hundred twenty".