2259974304 has 384 divisors, whose sum is σ = 8070451200. Its totient is φ = 600929280.

The previous prime is 2259974303. The next prime is 2259974317. The reversal of 2259974304 is 4034799522.

2259974304 is a `hidden beast` number, since 2 + 259 + 97 + 4 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2259974304.

It is not an unprimeable number, because it can be changed into a prime (2259974303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8158614 + ... + 8158890.

It is an arithmetic number, because the mean of its divisors is an integer number (21016800).

Almost surely, 2^2259974304 is an apocalyptic number.

2259974304 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 2259974304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4035225600).

2259974304 is an abundant number, since it is smaller than the sum of its proper divisors (5810476896).

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

2259974304 is a wasteful number, since it uses less digits than its factorization.

2259974304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2259974304 is about 47539.1870355394. The cubic root of 2259974304 is about 1312.3041444895.

The spelling of 2259974304 in words is "two billion, two hundred fifty-nine million, nine hundred seventy-four thousand, three hundred four".