2224933920 has 240 divisors, whose sum is σ = 8566544448. Its totient is φ = 539343360.

The previous prime is 2224933903. The next prime is 2224933943. The reversal of 2224933920 is 293394222.

2224933920 is a `hidden beast` number, since 22 + 249 + 3 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134757 + ... + 150363.

Almost surely, 2^2224933920 is an apocalyptic number.

2224933920 is a gapful number since it is divisible by the number (20) 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 2224933920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4283272224).

2224933920 is an abundant number, since it is smaller than the sum of its proper divisors (6341610528).

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

2224933920 is a wasteful number, since it uses less digits than its factorization.

2224933920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15645 (or 15628 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2224933920 is about 47169.2052084832. The cubic root of 2224933920 is about 1305.4864615259.

It can be divided in two parts, 22249 and 33920, that added together give a square (56169 = 237²).

The spelling of 2224933920 in words is "two billion, two hundred twenty-four million, nine hundred thirty-three thousand, nine hundred twenty".