2259361080 has 128 divisors (see below), whose sum is σ = 7542374400. Its totient is φ = 601603200.

The previous prime is 2259361051. The next prime is 2259361133. The reversal of 2259361080 is 801639522.

2259361080 is a `hidden beast` number, since 2 + 2 + 593 + 61 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1069225 + ... + 1071335.

It is an arithmetic number, because the mean of its divisors is an integer number (58924800).

Almost surely, 2^2259361080 is an apocalyptic number.

2259361080 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 2259361080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771187200).

2259361080 is an abundant number, since it is smaller than the sum of its proper divisors (5283013320).

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

2259361080 is a wasteful number, since it uses less digits than its factorization.

2259361080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2259361080 is about 47532.7369294048. The cubic root of 2259361080 is about 1312.1854397190.

The spelling of 2259361080 in words is "two billion, two hundred fifty-nine million, three hundred sixty-one thousand, eighty".