2601605630736 has 180 divisors, whose sum is σ = 8915366694000. Its totient is φ = 704193969024.

The previous prime is 2601605630713. The next prime is 2601605630737. The reversal of 2601605630736 is 6370365061062.

2601605630736 is a `hidden beast` number, since 2 + 6 + 0 + 1 + 6 + 0 + 5 + 630 + 7 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2601605630691 and 2601605630700.

It is not an unprimeable number, because it can be changed into a prime (2601605630737) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9568786 + ... + 9836913.

Almost surely, 2^{2601605630736} is an apocalyptic number.

It is an amenable number.

2601605630736 is an abundant number, since it is smaller than the sum of its proper divisors (6313761063264).

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

2601605630736 is a wasteful number, since it uses less digits than its factorization.

2601605630736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19405746 (or 19405730 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 2601605630736 in words is "two trillion, six hundred one billion, six hundred five million, six hundred thirty thousand, seven hundred thirty-six".