2798400 has 168 divisors, whose sum is σ = 10204704. Its totient is φ = 665600.

The previous prime is 2798381. The next prime is 2798437. The reversal of 2798400 is 48972.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52774 + ... + 52826.

2^2798400 is an apocalyptic number.

2798400 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 2798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5102352).

2798400 is an abundant number, since it is smaller than the sum of its proper divisors (7406304).

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

2798400 is a wasteful number, since it uses less digits than its factorization.

2798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2798400 is about 1672.8418933061. The cubic root of 2798400 is about 140.9191226737.

The spelling of 2798400 in words is "two million, seven hundred ninety-eight thousand, four hundred".