2664656010 has 192 divisors, whose sum is σ = 7551442080. Its totient is φ = 650280960.

The previous prime is 2664655991. The next prime is 2664656077. The reversal of 2664656010 is 106564662.

It is a happy number.

2664656010 is a `hidden beast` number, since 2 + 6 + 6 + 46 + 5 + 601 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 96294969 + 2568361041 = 9813^2 + 50679^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3959034 + ... + 3959706.

Almost surely, 2^2664656010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2664656010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775721040).

2664656010 is an abundant number, since it is smaller than the sum of its proper divisors (4886786070).

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

2664656010 is a wasteful number, since it uses less digits than its factorization.

2664656010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2664656010 is about 51620.3061788672. The cubic root of 2664656010 is about 1386.3739332012.

The spelling of 2664656010 in words is "two billion, six hundred sixty-four million, six hundred fifty-six thousand, ten".