2259198000 has 640 divisors, whose sum is σ = 9025136640. Its totient is φ = 537292800.

The previous prime is 2259197987. The next prime is 2259198037. The reversal of 2259198000 is 8919522.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21113947 + ... + 21114053.

It is an arithmetic number, because the mean of its divisors is an integer number (14101776).

Almost surely, 2^2259198000 is an apocalyptic number.

2259198000 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 2259198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4512568320).

2259198000 is an abundant number, since it is smaller than the sum of its proper divisors (6765938640).

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

2259198000 is a wasteful number, since it uses less digits than its factorization.

2259198000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 2259198000 is about 47531.0214491547. The cubic root of 2259198000 is about 1312.1538679099.

The spelling of 2259198000 in words is "two billion, two hundred fifty-nine million, one hundred ninety-eight thousand".