2259412960 has 48 divisors (see below), whose sum is σ = 6100418016. Its totient is φ = 774655488.

The previous prime is 2259412879. The next prime is 2259412993. The reversal of 2259412960 is 692149522.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1007547 + ... + 1009786.

It is an arithmetic number, because the mean of its divisors is an integer number (127092042).

Almost surely, 2^2259412960 is an apocalyptic number.

2259412960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2259412960 is an abundant number, since it is smaller than the sum of its proper divisors (3841005056).

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

2259412960 is a wasteful number, since it uses less digits than its factorization.

2259412960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017355 (or 2017347 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 2259412960 is about 47533.2826554195. The cubic root of 2259412960 is about 1312.1954832161.

The spelling of 2259412960 in words is "two billion, two hundred fifty-nine million, four hundred twelve thousand, nine hundred sixty".