2978800 has 60 divisors (see below), whose sum is σ = 7818696. Its totient is φ = 1081600.

The previous prime is 2978797. The next prime is 2978819. The reversal of 2978800 is 88792.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4062 + ... + 4738.

2^2978800 is an apocalyptic number.

2978800 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 2978800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909348).

2978800 is an abundant number, since it is smaller than the sum of its proper divisors (4839896).

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

2978800 is a wasteful number, since it uses less digits than its factorization.

2978800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 2978800 is about 1725.9200444980. The cubic root of 2978800 is about 143.8844237227.

The spelling of 2978800 in words is "two million, nine hundred seventy-eight thousand, eight hundred".