2278400 has 66 divisors (see below), whose sum is σ = 5711130. Its totient is φ = 901120.

The previous prime is 2278379. The next prime is 2278421. The reversal of 2278400 is 48722.

It is an interprime number because it is at equal distance from previous prime (2278379) and next prime (2278421).

It can be written as a sum of positive squares in 3 ways, for example, as 16384 + 2262016 = 128^2 + 1504^2 .

It is a super-2 number, since 2×2278400² = 10382213120000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25556 + ... + 25644.

2^2278400 is an apocalyptic number.

2278400 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 2278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855565).

2278400 is an abundant number, since it is smaller than the sum of its proper divisors (3432730).

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

2278400 is an equidigital number, since it uses as much as digits as its factorization.

2278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 2278400 is about 1509.4369811291. The cubic root of 2278400 is about 131.5860925243.

The spelling of 2278400 in words is "two million, two hundred seventy-eight thousand, four hundred".