2668137408 has 140 divisors (see below), whose sum is σ = 7999445520. Its totient is φ = 879234048.

The previous prime is 2668137349. The next prime is 2668137427. The reversal of 2668137408 is 8047318662.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 458485 + ... + 464267.

Almost surely, 2^2668137408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2668137408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999722760).

2668137408 is an abundant number, since it is smaller than the sum of its proper divisors (5331308112).

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

2668137408 is an equidigital number, since it uses as much as digits as its factorization.

2668137408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5896 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2668137408 is about 51654.0163782063. The cubic root of 2668137408 is about 1386.9774406183.

The spelling of 2668137408 in words is "two billion, six hundred sixty-eight million, one hundred thirty-seven thousand, four hundred eight".