2288390400 has 864 divisors, whose sum is σ = 9580636800. Its totient is φ = 530841600.

The previous prime is 2288390387. The next prime is 2288390411. The reversal of 2288390400 is 40938822.

2288390400 is a `hidden beast` number, since 228 + 8 + 390 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

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, 55814380 + ... + 55814420.

It is an arithmetic number, because the mean of its divisors is an integer number (11088700).

Almost surely, 2^2288390400 is an apocalyptic number.

2288390400 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 2288390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790318400).

2288390400 is an abundant number, since it is smaller than the sum of its proper divisors (7292246400).

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

2288390400 is a wasteful number, since it uses less digits than its factorization.

2288390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2288390400 is about 47837.1236593506. The cubic root of 2288390400 is about 1317.7813971176.

The spelling of 2288390400 in words is "two billion, two hundred eighty-eight million, three hundred ninety thousand, four hundred".