2690887680 has 312 divisors, whose sum is σ = 10053698928. Its totient is φ = 661782528.

The previous prime is 2690887657. The next prime is 2690887697. The reversal of 2690887680 is 867880962.

It is a tau number, because it is divible by the number of its divisors (312).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2395599 + ... + 2396721.

It is an arithmetic number, because the mean of its divisors is an integer number (32223394).

Almost surely, 2^2690887680 is an apocalyptic number.

2690887680 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 2690887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5026849464).

2690887680 is an abundant number, since it is smaller than the sum of its proper divisors (7362811248).

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

2690887680 is a wasteful number, since it uses less digits than its factorization.

2690887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 2690887680 is about 51873.7667805221. The cubic root of 2690887680 is about 1390.9083792011.

The spelling of 2690887680 in words is "two billion, six hundred ninety million, eight hundred eighty-seven thousand, six hundred eighty".