2287958400 has 960 divisors, whose sum is σ = 10498598880. Its totient is φ = 477757440.

The previous prime is 2287958399. The next prime is 2287958417. The reversal of 2287958400 is 48597822.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 23587152 + ... + 23587248.

Almost surely, 2^2287958400 is an apocalyptic number.

2287958400 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 2287958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249299440).

2287958400 is an abundant number, since it is smaller than the sum of its proper divisors (8210640480).

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

2287958400 is a wasteful number, since it uses less digits than its factorization.

2287958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2287958400 is about 47832.6081245838. The cubic root of 2287958400 is about 1317.6984687574.

The spelling of 2287958400 in words is "two billion, two hundred eighty-seven million, nine hundred fifty-eight thousand, four hundred".