2642226113120 has 96 divisors (see below), whose sum is σ = 7044555964320. Its totient is φ = 927678115840.

The previous prime is 2642226113099. The next prime is 2642226113171. The reversal of 2642226113120 is 213116222462.

It is a super-2 number, since 2×2642226113120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25832837 + ... + 25934916.

It is an arithmetic number, because the mean of its divisors is an integer number (73380791295).

Almost surely, 2^{2642226113120} is an apocalyptic number.

2642226113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2642226113120 is an abundant number, since it is smaller than the sum of its proper divisors (4402329851200).

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

2642226113120 is a wasteful number, since it uses less digits than its factorization.

2642226113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51767808 (or 51767800 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 2642226113120 in words is "two trillion, six hundred forty-two billion, two hundred twenty-six million, one hundred thirteen thousand, one hundred twenty".