2681664000 has 160 divisors (see below), whose sum is σ = 8916500736. Its totient is φ = 715059200.

The previous prime is 2681663993. The next prime is 2681664049. The reversal of 2681664000 is 4661862.

It is a happy number.

2681664000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185017 + ... + 198983.

Almost surely, 2^2681664000 is an apocalyptic number.

2681664000 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 2681664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458250368).

2681664000 is an abundant number, since it is smaller than the sum of its proper divisors (6234836736).

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

2681664000 is an equidigital number, since it uses as much as digits as its factorization.

2681664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14003 (or 13977 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2681664000 is about 51784.7854103886. The cubic root of 2681664000 is about 1389.3173329460.

The spelling of 2681664000 in words is "two billion, six hundred eighty-one million, six hundred sixty-four thousand".