2259542880 has 432 divisors, whose sum is σ = 9267882624. Its totient is φ = 499322880.

The previous prime is 2259542867. The next prime is 2259542891. The reversal of 2259542880 is 882459522.

2259542880 is a `hidden beast` number, since 2 + 25 + 9 + 542 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2186844 + ... + 2187876.

It is an arithmetic number, because the mean of its divisors is an integer number (21453432).

Almost surely, 2^2259542880 is an apocalyptic number.

2259542880 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 2259542880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633941312).

2259542880 is an abundant number, since it is smaller than the sum of its proper divisors (7008339744).

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

2259542880 is a wasteful number, since it uses less digits than its factorization.

2259542880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2259542880 is about 47534.6492571471. The cubic root of 2259542880 is about 1312.2206338744.

The spelling of 2259542880 in words is "two billion, two hundred fifty-nine million, five hundred forty-two thousand, eight hundred eighty".