2224262592 has 336 divisors, whose sum is σ = 7189378560. Its totient is φ = 679145472.

The previous prime is 2224262563. The next prime is 2224262597. The reversal of 2224262592 is 2952624222.

2224262592 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 2 + 62 + 592 = 666.

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

Its product of digits (69120) is a multiple of the sum of its prime factors (270).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224262597) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12425959 + ... + 12426137.

It is an arithmetic number, because the mean of its divisors is an integer number (21396960).

Almost surely, 2^2224262592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224262592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594689280).

2224262592 is an abundant number, since it is smaller than the sum of its proper divisors (4965115968).

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

2224262592 is a wasteful number, since it uses less digits than its factorization.

2224262592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 248 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2224262592 is about 47162.0885033731. The cubic root of 2224262592 is about 1305.3551470977.

The spelling of 2224262592 in words is "two billion, two hundred twenty-four million, two hundred sixty-two thousand, five hundred ninety-two".