2004642634176 has 280 divisors, whose sum is σ = 7313710970720. Its totient is φ = 528696834048.

The previous prime is 2004642634171. The next prime is 2004642634193. The reversal of 2004642634176 is 6714362464002.

2004642634176 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 6 + 4 + 2 + 634 + 1 + 7 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004642634171) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1652971 + ... + 2596458.

It is an arithmetic number, because the mean of its divisors is an integer number (26120396324).

Almost surely, 2^{2004642634176} is an apocalyptic number.

2004642634176 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2004642634176 is an abundant number, since it is smaller than the sum of its proper divisors (5309068336544).

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

2004642634176 is a wasteful number, since it uses less digits than its factorization.

2004642634176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4249473 (or 4249454 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 2004642634176 in words is "two trillion, four billion, six hundred forty-two million, six hundred thirty-four thousand, one hundred seventy-six".