2641140272160 has 768 divisors, whose sum is σ = 10560491665920. Its totient is φ = 610733260800.

The previous prime is 2641140272153. The next prime is 2641140272233. The reversal of 2641140272160 is 612720411462.

2641140272160 is a `hidden beast` number, since 2 + 6 + 411 + 4 + 0 + 27 + 216 + 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 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, 573784419 + ... + 573789021.

It is an arithmetic number, because the mean of its divisors is an integer number (13750640190).

Almost surely, 2^{2641140272160} is an apocalyptic number.

2641140272160 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 2641140272160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5280245832960).

2641140272160 is an abundant number, since it is smaller than the sum of its proper divisors (7919351393760).

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

2641140272160 is a wasteful number, since it uses less digits than its factorization.

2641140272160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5258 (or 5244 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 2641140272160 in words is "two trillion, six hundred forty-one billion, one hundred forty million, two hundred seventy-two thousand, one hundred sixty".