2668415136 has 192 divisors, whose sum is σ = 7500076416. Its totient is φ = 829440000.

The previous prime is 2668415107. The next prime is 2668415137. The reversal of 2668415136 is 6315148662.

It is not an unprimeable number, because it can be changed into a prime (2668415137) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10631011 + ... + 10631261.

It is an arithmetic number, because the mean of its divisors is an integer number (39062898).

Almost surely, 2^2668415136 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 2668415136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750038208).

2668415136 is an abundant number, since it is smaller than the sum of its proper divisors (4831661280).

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

2668415136 is a wasteful number, since it uses less digits than its factorization.

2668415136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 407 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 2668415136 is about 51656.7046568013. The cubic root of 2668415136 is about 1387.0255627159.

The spelling of 2668415136 in words is "two billion, six hundred sixty-eight million, four hundred fifteen thousand, one hundred thirty-six".