2290359456 has 384 divisors, whose sum is σ = 8418816000. Its totient is φ = 588487680.

The previous prime is 2290359413. The next prime is 2290359521. The reversal of 2290359456 is 6549530922.

2290359456 is a `hidden beast` number, since 2 + 2 + 9 + 0 + 3 + 594 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11509245 + ... + 11509443.

It is an arithmetic number, because the mean of its divisors is an integer number (21924000).

Almost surely, 2^2290359456 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 2290359456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209408000).

2290359456 is an abundant number, since it is smaller than the sum of its proper divisors (6128456544).

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

2290359456 is a wasteful number, since it uses less digits than its factorization.

2290359456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 2290359456 is about 47857.7000701037. The cubic root of 2290359456 is about 1318.1592524420.

The spelling of 2290359456 in words is "two billion, two hundred ninety million, three hundred fifty-nine thousand, four hundred fifty-six".