2641377334440 has 192 divisors, whose sum is σ = 9065191685760. Its totient is φ = 611938897920.

The previous prime is 2641377334411. The next prime is 2641377334451. The reversal of 2641377334440 is 444337731462.

It is a happy number.

It is a super-2 number, since 2×2641377334440² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2641377334440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2478556 + ... + 3380235.

It is an arithmetic number, because the mean of its divisors is an integer number (47214540030).

Almost surely, 2^{2641377334440} is an apocalyptic number.

2641377334440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2641377334440 is an abundant number, since it is smaller than the sum of its proper divisors (6423814351320).

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

2641377334440 is a wasteful number, since it uses less digits than its factorization.

2641377334440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5858852 (or 5858831 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 48.

The spelling of 2641377334440 in words is "two trillion, six hundred forty-one billion, three hundred seventy-seven million, three hundred thirty-four thousand, four hundred forty".