2281595904 has 176 divisors, whose sum is σ = 7722921600. Its totient is φ = 651829248.

The previous prime is 2281595843. The next prime is 2281595963. The reversal of 2281595904 is 4095951822.

It is a happy number.

2281595904 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 59 + 590 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2281595904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187642 + ... + 199430.

Almost surely, 2^2281595904 is an apocalyptic number.

2281595904 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 2281595904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3861460800).

2281595904 is an abundant number, since it is smaller than the sum of its proper divisors (5441325696).

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

2281595904 is a wasteful number, since it uses less digits than its factorization.

2281595904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11825 (or 11801 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 2281595904 is about 47766.0538876722. The cubic root of 2281595904 is about 1316.4758890245.

The spelling of 2281595904 in words is "two billion, two hundred eighty-one million, five hundred ninety-five thousand, nine hundred four".