2288790900 has 216 divisors, whose sum is σ = 7935992064. Its totient is φ = 547084800.

The previous prime is 2288790899. The next prime is 2288790919. The reversal of 2288790900 is 90978822.

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, 721117 + ... + 724283.

It is an arithmetic number, because the mean of its divisors is an integer number (36740704).

Almost surely, 2^2288790900 is an apocalyptic number.

2288790900 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 2288790900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967996032).

2288790900 is an abundant number, since it is smaller than the sum of its proper divisors (5647201164).

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

2288790900 is a wasteful number, since it uses less digits than its factorization.

2288790900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3271 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2288790900 is about 47841.3095556549. The cubic root of 2288790900 is about 1317.8582692958.

The spelling of 2288790900 in words is "two billion, two hundred eighty-eight million, seven hundred ninety thousand, nine hundred".