2287084800 has 1296 divisors, whose sum is σ = 10921925952. Its totient is φ = 412876800.

The previous prime is 2287084747. The next prime is 2287084819. The reversal of 2287084800 is 84807822.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 134534392 + ... + 134534408.

It is an arithmetic number, because the mean of its divisors is an integer number (8427412).

Almost surely, 2^2287084800 is an apocalyptic number.

2287084800 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 2287084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5460962976).

2287084800 is an abundant number, since it is smaller than the sum of its proper divisors (8634841152).

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

2287084800 is a wasteful number, since it uses less digits than its factorization.

2287084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 2287084800 is about 47823.4754069589. The cubic root of 2287084800 is about 1317.5307372805.

The spelling of 2287084800 in words is "two billion, two hundred eighty-seven million, eighty-four thousand, eight hundred".