2661440503164 has 96 divisors (see below), whose sum is σ = 6705170976000. Its totient is φ = 818870653440.

The previous prime is 2661440503093. The next prime is 2661440503177. The reversal of 2661440503164 is 4613050441662.

It is a super-3 number, since 3×2661440503164³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6888387 + ... + 7264485.

It is an arithmetic number, because the mean of its divisors is an integer number (69845531000).

Almost surely, 2^{2661440503164} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2661440503164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352585488000).

2661440503164 is an abundant number, since it is smaller than the sum of its proper divisors (4043730472836).

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

2661440503164 is a wasteful number, since it uses less digits than its factorization.

2661440503164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376923 (or 376921 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 2661440503164 in words is "two trillion, six hundred sixty-one billion, four hundred forty million, five hundred three thousand, one hundred sixty-four".