2004260626657 has 32 divisors (see below), whose sum is σ = 2244817048320. Its totient is φ = 1778322862080.

The previous prime is 2004260626651. The next prime is 2004260626703. The reversal of 2004260626657 is 7566260624002.

It is a cyclic number.

It is not a de Polignac number, because 2004260626657 - 2¹¹ = 2004260624609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2004260626651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79924473 + ... + 79949545.

It is an arithmetic number, because the mean of its divisors is an integer number (70150532760).

Almost surely, 2^{2004260626657} is an apocalyptic number.

It is an amenable number.

2004260626657 is a deficient number, since it is larger than the sum of its proper divisors (240556421663).

2004260626657 is a wasteful number, since it uses less digits than its factorization.

2004260626657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26313.

The product of its (nonzero) digits is 1451520, while the sum is 46.

The spelling of 2004260626657 in words is "two trillion, four billion, two hundred sixty million, six hundred twenty-six thousand, six hundred fifty-seven".