2122517165664 has 96 divisors (see below), whose sum is σ = 6375309002496. Its totient is φ = 605694666240.

The previous prime is 2122517165653. The next prime is 2122517165807. The reversal of 2122517165664 is 4665617152212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1371862 + ... + 2475285.

It is an arithmetic number, because the mean of its divisors is an integer number (66409468776).

Almost surely, 2^{2122517165664} is an apocalyptic number.

2122517165664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2122517165664 is an abundant number, since it is smaller than the sum of its proper divisors (4252791836832).

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

2122517165664 is a wasteful number, since it uses less digits than its factorization.

2122517165664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3847988 (or 3847980 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The spelling of 2122517165664 in words is "two trillion, one hundred twenty-two billion, five hundred seventeen million, one hundred sixty-five thousand, six hundred sixty-four".