2989600 has 72 divisors (see below), whose sum is σ = 7569828. Its totient is φ = 1152000.

The previous prime is 2989579. The next prime is 2989619. The reversal of 2989600 is 69892.

It can be written as a sum of positive squares in 6 ways, for example, as 2521744 + 467856 = 1588^2 + 684^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29550 + ... + 29650.

2^2989600 is an apocalyptic number.

2989600 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 2989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3784914).

2989600 is an abundant number, since it is smaller than the sum of its proper divisors (4580228).

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

2989600 is a wasteful number, since it uses less digits than its factorization.

2989600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 2989600 is about 1729.0459797241. The cubic root of 2989600 is about 144.0581041238.

The spelling of 2989600 in words is "two million, nine hundred eighty-nine thousand, six hundred".