2687590080 has 336 divisors, whose sum is σ = 10931469120. Its totient is φ = 592994304.

The previous prime is 2687590069. The next prime is 2687590099. The reversal of 2687590080 is 800957862.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2687590080² = 14446280876228812800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 582342 + ... + 586938.

Almost surely, 2^2687590080 is an apocalyptic number.

2687590080 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 2687590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5465734560).

2687590080 is an abundant number, since it is smaller than the sum of its proper divisors (8243879040).

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

2687590080 is a wasteful number, since it uses less digits than its factorization.

2687590080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4656 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2687590080 is about 51841.9721847076. The cubic root of 2687590080 is about 1390.3399751530.

The spelling of 2687590080 in words is "two billion, six hundred eighty-seven million, five hundred ninety thousand, eighty".