2259390000 has 600 divisors, whose sum is σ = 8942574960. Its totient is φ = 489216000.

The previous prime is 2259389953. The next prime is 2259390011. The reversal of 2259390000 is 939522.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 2259390000.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 42629974 + ... + 42630026.

Almost surely, 2^2259390000 is an apocalyptic number.

2259390000 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 2259390000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4471287480).

2259390000 is an abundant number, since it is smaller than the sum of its proper divisors (6683184960).

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

2259390000 is a wasteful number, since it uses less digits than its factorization.

2259390000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 2259390000 is about 47533.0411398219. The cubic root of 2259390000 is about 1312.1910383875.

The spelling of 2259390000 in words is "two billion, two hundred fifty-nine million, three hundred ninety thousand".