2998400 has 48 divisors (see below), whose sum is σ = 7414890. Its totient is φ = 1198080.

The previous prime is 2998399. The next prime is 2998403. The reversal of 2998400 is 48992.

It can be written as a sum of positive squares in 3 ways, for example, as 1420864 + 1577536 = 1192^2 + 1256^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2998403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2732 + ... + 3668.

2^2998400 is an apocalyptic number.

2998400 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 2998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707445).

2998400 is an abundant number, since it is smaller than the sum of its proper divisors (4416490).

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

2998400 is an equidigital number, since it uses as much as digits as its factorization.

2998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 2998400 is about 1731.5888657531. The cubic root of 2998400 is about 144.1993124788.

The spelling of 2998400 in words is "two million, nine hundred ninety-eight thousand, four hundred".