2601605630700 has 144 divisors (see below), whose sum is σ = 8374506809760. Its totient is φ = 692863453440.

The previous prime is 2601605630683. The next prime is 2601605630713. The reversal of 2601605630700 is 70365061062.

2601605630700 is a `hidden beast` number, since 2 + 6 + 0 + 16 + 0 + 5 + 630 + 7 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1463842 + ... + 2710358.

It is an arithmetic number, because the mean of its divisors is an integer number (58156297290).

Almost surely, 2^{2601605630700} is an apocalyptic number.

2601605630700 is a gapful number since it is divisible by the number (20) 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 2601605630700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187253404880).

2601605630700 is an abundant number, since it is smaller than the sum of its proper divisors (5772901179060).

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

2601605630700 is a wasteful number, since it uses less digits than its factorization.

2601605630700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247313 (or 1247300 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 2601605630700 in words is "two trillion, six hundred one billion, six hundred five million, six hundred thirty thousand, seven hundred".