2631671095680 has 1024 divisors, whose sum is σ = 10411441920000. Its totient is φ = 622876262400.

The previous prime is 2631671095663. The next prime is 2631671095687. The reversal of 2631671095680 is 865901761362.

2631671095680 is a `hidden beast` number, since 2 + 6 + 3 + 1 + 6 + 71 + 0 + 9 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2631671095687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1471028226 + ... + 1471030014.

It is an arithmetic number, because the mean of its divisors is an integer number (10167423750).

Almost surely, 2^{2631671095680} is an apocalyptic number.

2631671095680 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 2631671095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5205720960000).

2631671095680 is an abundant number, since it is smaller than the sum of its proper divisors (7779770824320).

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

2631671095680 is a wasteful number, since it uses less digits than its factorization.

2631671095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 2631671095680 in words is "two trillion, six hundred thirty-one billion, six hundred seventy-one million, ninety-five thousand, six hundred eighty".