2242116715104 has 288 divisors, whose sum is σ = 7320398851584. Its totient is φ = 637665177600.

The previous prime is 2242116715093. The next prime is 2242116715147. The reversal of 2242116715104 is 4015176112422.

2242116715104 is a `hidden beast` number, since 2 + 24 + 2 + 116 + 7 + 1 + 510 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422798917 + ... + 422804219.

It is an arithmetic number, because the mean of its divisors is an integer number (25418051568).

Almost surely, 2^{2242116715104} is an apocalyptic number.

2242116715104 is a gapful number since it is divisible by the number (24) 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 2242116715104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660199425792).

2242116715104 is an abundant number, since it is smaller than the sum of its proper divisors (5078282136480).

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

2242116715104 is a wasteful number, since it uses less digits than its factorization.

2242116715104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6250 (or 6239 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 2242116715104 in words is "two trillion, two hundred forty-two billion, one hundred sixteen million, seven hundred fifteen thousand, one hundred four".