2982400 has 60 divisors (see below), whose sum is σ = 7420842. Its totient is φ = 1187840.

The previous prime is 2982379. The next prime is 2982431. The reversal of 2982400 is 42892.

It can be written as a sum of positive squares in 3 ways, for example, as 1763584 + 1218816 = 1328^2 + 1104^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12684 + ... + 12916.

2^2982400 is an apocalyptic number.

2982400 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 2982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710421).

2982400 is an abundant number, since it is smaller than the sum of its proper divisors (4438442).

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

2982400 is an equidigital number, since it uses as much as digits as its factorization.

2982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2982400 is about 1726.9626515938. The cubic root of 2982400 is about 143.9423637654.

The spelling of 2982400 in words is "two million, nine hundred eighty-two thousand, four hundred".