2604166656 has 320 divisors, whose sum is σ = 8828768256. Its totient is φ = 663552000.

The previous prime is 2604166639. The next prime is 2604166661. The reversal of 2604166656 is 6566614062.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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, 4332756 + ... + 4333356.

Almost surely, 2^2604166656 is an apocalyptic number.

2604166656 is a gapful number since it is divisible by the number (26) 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 2604166656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4414384128).

2604166656 is an abundant number, since it is smaller than the sum of its proper divisors (6224601600).

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

2604166656 is a wasteful number, since it uses less digits than its factorization.

2604166656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 2604166656 is about 51031.0362034713. The cubic root of 2604166656 is about 1375.8030184943.

It can be divided in two parts, 2604 and 166656, that multiplied together give a square (433972224 = 20832²).

The spelling of 2604166656 in words is "two billion, six hundred four million, one hundred sixty-six thousand, six hundred fifty-six".