2668693680 has 240 divisors, whose sum is σ = 9676255680. Its totient is φ = 657119232.

The previous prime is 2668693673. The next prime is 2668693691. The reversal of 2668693680 is 863968662.

It is a tau number, because it is divible by the number of its divisors (240).

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, 477462 + ... + 483018.

It is an arithmetic number, because the mean of its divisors is an integer number (40317732).

Almost surely, 2^2668693680 is an apocalyptic number.

2668693680 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 2668693680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838127840).

2668693680 is an abundant number, since it is smaller than the sum of its proper divisors (7007562000).

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

2668693680 is a wasteful number, since it uses less digits than its factorization.

2668693680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5628 (or 5619 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 2668693680 is about 51659.4006933878. The cubic root of 2668693680 is about 1387.0738228486.

The spelling of 2668693680 in words is "two billion, six hundred sixty-eight million, six hundred ninety-three thousand, six hundred eighty".