2245231296 has 672 divisors, whose sum is σ = 8764194816. Its totient is φ = 532224000.

The previous prime is 2245231279. The next prime is 2245231309. The reversal of 2245231296 is 6921325422.

2245231296 is a `hidden beast` number, since 2 + 2 + 4 + 523 + 129 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 2245231296.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31622941 + ... + 31623011.

Almost surely, 2^2245231296 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 2245231296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382097408).

2245231296 is an abundant number, since it is smaller than the sum of its proper divisors (6518963520).

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

2245231296 is a wasteful number, since it uses less digits than its factorization.

2245231296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 2245231296 is about 47383.8716864715. The cubic root of 2245231296 is about 1309.4442986174. Note that the first 3 decimals are identical.

The spelling of 2245231296 in words is "two billion, two hundred forty-five million, two hundred thirty-one thousand, two hundred ninety-six".