2258982880 has 288 divisors, whose sum is σ = 6821176320. Its totient is φ = 691891200.

The previous prime is 2258982877. The next prime is 2258982911. The reversal of 2258982880 is 882898522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10705975 + ... + 10706185.

It is an arithmetic number, because the mean of its divisors is an integer number (23684640).

Almost surely, 2^2258982880 is an apocalyptic number.

2258982880 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 2258982880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410588160).

2258982880 is an abundant number, since it is smaller than the sum of its proper divisors (4562193440).

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

2258982880 is a wasteful number, since it uses less digits than its factorization.

2258982880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 52.

The square root of 2258982880 is about 47528.7584521203. The cubic root of 2258982880 is about 1312.1122189855.

The spelling of 2258982880 in words is "two billion, two hundred fifty-eight million, nine hundred eighty-two thousand, eight hundred eighty".