2262736224 has 72 divisors (see below), whose sum is σ = 7353899280. Its totient is φ = 646495488.

The previous prime is 2262736219. The next prime is 2262736237. The reversal of 2262736224 is 4226372622.

2262736224 is a `hidden beast` number, since 2 + 2 + 6 + 27 + 3 + 622 + 4 = 666.

2262736224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 559179 + ... + 563210.

It is an arithmetic number, because the mean of its divisors is an integer number (102137490).

Almost surely, 2^2262736224 is an apocalyptic number.

2262736224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2262736224 is an abundant number, since it is smaller than the sum of its proper divisors (5091163056).

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

2262736224 is a wasteful number, since it uses less digits than its factorization.

2262736224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122412 (or 1122401 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 2262736224 is about 47568.2270428487. The cubic root of 2262736224 is about 1312.8385168735.

The spelling of 2262736224 in words is "two billion, two hundred sixty-two million, seven hundred thirty-six thousand, two hundred twenty-four".