2078400 has 84 divisors (see below), whose sum is σ = 6834632. Its totient is φ = 552960.

The previous prime is 2078399. The next prime is 2078431. The reversal of 2078400 is 48702.

It is a happy number.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4584 + ... + 5016.

2^2078400 is an apocalyptic number.

2078400 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 2078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417316).

2078400 is an abundant number, since it is smaller than the sum of its proper divisors (4756232).

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

2078400 is a wasteful number, since it uses less digits than its factorization.

2078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 2078400 is about 1441.6657032752. The cubic root of 2078400 is about 127.6173467898.

The spelling of 2078400 in words is "two million, seventy-eight thousand, four hundred".