2664684960 has 192 divisors, whose sum is σ = 9750875904. Its totient is φ = 599040000.

The previous prime is 2664684947. The next prime is 2664684961. The reversal of 2664684960 is 694864662.

It is not an unprimeable number, because it can be changed into a prime (2664684961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198460 + ... + 211460.

It is an arithmetic number, because the mean of its divisors is an integer number (50785812).

Almost surely, 2^2664684960 is an apocalyptic number.

2664684960 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 2664684960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4875437952).

2664684960 is an abundant number, since it is smaller than the sum of its proper divisors (7086190944).

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

2664684960 is a wasteful number, since it uses less digits than its factorization.

2664684960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13087 (or 13079 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The square root of 2664684960 is about 51620.5865910104. The cubic root of 2664684960 is about 1386.3789539092.

The spelling of 2664684960 in words is "two billion, six hundred sixty-four million, six hundred eighty-four thousand, nine hundred sixty".