2259294400 has 168 divisors, whose sum is σ = 6115452336. Its totient is φ = 814694400.

The previous prime is 2259294383. The next prime is 2259294419. The reversal of 2259294400 is 44929522.

It is a super-2 number, since 2×2259294400² = 10208822371742720000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2259294400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2410732 + ... + 2411668.

It is an arithmetic number, because the mean of its divisors is an integer number (36401502).

Almost surely, 2^2259294400 is an apocalyptic number.

2259294400 is a gapful number since it is divisible by the number (20) 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 2259294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057726168).

2259294400 is an abundant number, since it is smaller than the sum of its proper divisors (3856157936).

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

2259294400 is a wasteful number, since it uses less digits than its factorization.

2259294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 2259294400 is about 47532.0355129043. The cubic root of 2259294400 is about 1312.1725308504.

The spelling of 2259294400 in words is "two billion, two hundred fifty-nine million, two hundred ninety-four thousand, four hundred".