2601231796800 has 2268 divisors, whose sum is σ = 12057912970740. Its totient is φ = 547420446720.

The previous prime is 2601231796799. The next prime is 2601231796847. The reversal of 2601231796800 is 86971321062.

2601231796800 is a `hidden beast` number, since 2 + 601 + 2 + 31 + 7 + 9 + 6 + 8 + 0 + 0 = 666.

2601231796800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 546665039424 + 2054566757376 = 739368^2 + 1433376^2 .

It is a tau number, because it is divible by the number of its divisors (2268).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 6686971006 + ... + 6686971394.

Almost surely, 2^{2601231796800} is an apocalyptic number.

2601231796800 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 2601231796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6028956485370).

2601231796800 is an abundant number, since it is smaller than the sum of its proper divisors (9456681173940).

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

2601231796800 is an equidigital number, since it uses as much as digits as its factorization.

2601231796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 2601231796800 in words is "two trillion, six hundred one billion, two hundred thirty-one million, seven hundred ninety-six thousand, eight hundred".