2286086400 has 648 divisors, whose sum is σ = 9133540416. Its totient is φ = 541900800.

The previous prime is 2286086381. The next prime is 2286086401. The reversal of 2286086400 is 46806822.

2286086400 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 0 + 8 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2286086401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32198365 + ... + 32198435.

Almost surely, 2^2286086400 is an apocalyptic number.

2286086400 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 2286086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566770208).

2286086400 is an abundant number, since it is smaller than the sum of its proper divisors (6847454016).

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

2286086400 is a wasteful number, since it uses less digits than its factorization.

2286086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2286086400 is about 47813.0358793499. The cubic root of 2286086400 is about 1317.3389918549.

The spelling of 2286086400 in words is "two billion, two hundred eighty-six million, eighty-six thousand, four hundred".