2988400 has 60 divisors (see below), whose sum is σ = 7441984. Its totient is φ = 1152000.

The previous prime is 2988389. The next prime is 2988407. The reversal of 2988400 is 48892.

2988400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2988407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12280 + ... + 12520.

2^2988400 is an apocalyptic number.

2988400 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 2988400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720992).

2988400 is an abundant number, since it is smaller than the sum of its proper divisors (4453584).

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

2988400 is a wasteful number, since it uses less digits than its factorization.

2988400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 2988400 is about 1728.6989327237. The cubic root of 2988400 is about 144.0388269786.

The spelling of 2988400 in words is "two million, nine hundred eighty-eight thousand, four hundred".