2601550631680 has 864 divisors, whose sum is σ = 8456567616000. Its totient is φ = 744611512320.

The previous prime is 2601550631657. The next prime is 2601550631681. The reversal of 2601550631680 is 861360551062.

It is not an unprimeable number, because it can be changed into a prime (2601550631681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5213528071 + ... + 5213528569.

It is an arithmetic number, because the mean of its divisors is an integer number (9787694000).

Almost surely, 2^{2601550631680} is an apocalyptic number.

2601550631680 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 2601550631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4228283808000).

2601550631680 is an abundant number, since it is smaller than the sum of its proper divisors (5855016984320).

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

2601550631680 is a wasteful number, since it uses less digits than its factorization.

2601550631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 2601550631680 in words is "two trillion, six hundred one billion, five hundred fifty million, six hundred thirty-one thousand, six hundred eighty".