2278800 has 120 divisors (see below), whose sum is σ = 8149280. Its totient is φ = 604800.

The previous prime is 2278769. The next prime is 2278807. The reversal of 2278800 is 88722.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2278807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10695 + ... + 10905.

2^2278800 is an apocalyptic number.

2278800 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 2278800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4074640).

2278800 is an abundant number, since it is smaller than the sum of its proper divisors (5870480).

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

2278800 is a wasteful number, since it uses less digits than its factorization.

2278800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2278800 is about 1509.5694750491. The cubic root of 2278800 is about 131.5937925707.

The spelling of 2278800 in words is "two million, two hundred seventy-eight thousand, eight hundred".