2478800 has 30 divisors (see below), whose sum is σ = 5956278. Its totient is φ = 991360.

The previous prime is 2478793. The next prime is 2478803. The reversal of 2478800 is 88742.

It can be written as a sum of positive squares in 3 ways, for example, as 94864 + 2383936 = 308^2 + 1544^2 .

It is a super-2 number, since 2×2478800² = 12288898880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2478803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2699 + ... + 3498.

2^2478800 is an apocalyptic number.

2478800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2478800 is an abundant number, since it is smaller than the sum of its proper divisors (3477478).

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

2478800 is a wasteful number, since it uses less digits than its factorization.

2478800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6215 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 2478800 is about 1574.4205283215. The cubic root of 2478800 is about 135.3361535862.

The spelling of 2478800 in words is "two million, four hundred seventy-eight thousand, eight hundred".