2278900 has 36 divisors (see below), whose sum is σ = 5328652. Its totient is φ = 840960.

The previous prime is 2278891. The next prime is 2278943. The reversal of 2278900 is 98722.

2278900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 824464 + 1454436 = 908^2 + 1206^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 424 + ... + 2176.

2^2278900 is an apocalyptic number.

2278900 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 2278900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664326).

2278900 is an abundant number, since it is smaller than the sum of its proper divisors (3049752).

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

2278900 is a wasteful number, since it uses less digits than its factorization.

2278900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 2278900 is about 1509.6025967121. The cubic root of 2278900 is about 131.5957174415.

The spelling of 2278900 in words is "two million, two hundred seventy-eight thousand, nine hundred".