2989200 has 120 divisors (see below), whose sum is σ = 9963648. Its totient is φ = 765440.

The previous prime is 2989177. The next prime is 2989201. The reversal of 2989200 is 29892.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2989201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56374 + ... + 56426.

2^2989200 is an apocalyptic number.

2989200 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 2989200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981824).

2989200 is an abundant number, since it is smaller than the sum of its proper divisors (6974448).

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

2989200 is a wasteful number, since it uses less digits than its factorization.

2989200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 2989200 is about 1728.9303051309. The cubic root of 2989200 is about 144.0516789820.

Multiplying 2989200 by its reverse (29892), we get a square (89353166400 = 298920²).

2989200 divided by its reverse (29892) gives a square (100 = 10²).

The spelling of 2989200 in words is "two million, nine hundred eighty-nine thousand, two hundred".