2272408113024 has 288 divisors, whose sum is σ = 8054153967600. Its totient is φ = 611067469824.

The previous prime is 2272408112993. The next prime is 2272408113047. The reversal of 2272408113024 is 4203118042722.

2272408113024 is a `hidden beast` number, since 2 + 272 + 4 + 0 + 81 + 1 + 302 + 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 self number, because there is not a number n which added to its sum of digits gives 2272408113024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 224404 + ... + 2143635.

Almost surely, 2^{2272408113024} is an apocalyptic number.

2272408113024 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 2272408113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027076983800).

2272408113024 is an abundant number, since it is smaller than the sum of its proper divisors (5781745854576).

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

2272408113024 is a wasteful number, since it uses less digits than its factorization.

2272408113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368090 (or 2368068 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 2272408113024 in words is "two trillion, two hundred seventy-two billion, four hundred eight million, one hundred thirteen thousand, twenty-four".