2286200400 has 480 divisors, whose sum is σ = 8525930496. Its totient is φ = 518400000.

The previous prime is 2286200383. The next prime is 2286200417. The reversal of 2286200400 is 40026822.

It is an interprime number because it is at equal distance from previous prime (2286200383) and next prime (2286200417).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15140325 + ... + 15140475.

Almost surely, 2^2286200400 is an apocalyptic number.

2286200400 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 2286200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262965248).

2286200400 is an abundant number, since it is smaller than the sum of its proper divisors (6239730096).

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

2286200400 is a wasteful number, since it uses less digits than its factorization.

2286200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2286200400 is about 47814.2280079894. The cubic root of 2286200400 is about 1317.3608886868.

The spelling of 2286200400 in words is "two billion, two hundred eighty-six million, two hundred thousand, four hundred".