2670592264704 has 960 divisors, whose sum is σ = 10114219315200. Its totient is φ = 658660294656.

The previous prime is 2670592264687. The next prime is 2670592264709. The reversal of 2670592264704 is 4074622950762.

It is a happy number.

2670592264704 is a `hidden beast` number, since 2 + 6 + 7 + 0 + 592 + 2 + 6 + 47 + 0 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (2670592264709) by changing a digit.

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, 629409207 + ... + 629413449.

It is an arithmetic number, because the mean of its divisors is an integer number (10535645120).

Almost surely, 2^{2670592264704} is an apocalyptic number.

2670592264704 is a gapful number since it is divisible by the number (24) 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 2670592264704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5057109657600).

2670592264704 is an abundant number, since it is smaller than the sum of its proper divisors (7443627050496).

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

2670592264704 is a wasteful number, since it uses less digits than its factorization.

2670592264704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4385 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 2670592264704 in words is "two trillion, six hundred seventy billion, five hundred ninety-two million, two hundred sixty-four thousand, seven hundred four".