2664731160 has 288 divisors, whose sum is σ = 10719203040. Its totient is φ = 562139136.

The previous prime is 2664731159. The next prime is 2664731161. The reversal of 2664731160 is 611374662.

It is a happy number.

2664731160 is a `hidden beast` number, since 2 + 6 + 647 + 3 + 1 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2664731159) and next prime (2664731161).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664731161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 422752 + ... + 429008.

It is an arithmetic number, because the mean of its divisors is an integer number (37219455).

Almost surely, 2^2664731160 is an apocalyptic number.

2664731160 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 2664731160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5359601520).

2664731160 is an abundant number, since it is smaller than the sum of its proper divisors (8054471880).

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

2664731160 is a wasteful number, since it uses less digits than its factorization.

2664731160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6307 (or 6287 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2664731160 is about 51621.0340849542. The cubic root of 2664731160 is about 1386.3869661557.

The spelling of 2664731160 in words is "two billion, six hundred sixty-four million, seven hundred thirty-one thousand, one hundred sixty".