2979200 has 144 divisors (see below), whose sum is σ = 9011700. Its totient is φ = 967680.

The previous prime is 2979191. The next prime is 2979227. The reversal of 2979200 is 29792.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 156791 + ... + 156809.

2^2979200 is an apocalyptic number.

2979200 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 2979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505850).

2979200 is an abundant number, since it is smaller than the sum of its proper divisors (6032500).

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

2979200 is a wasteful number, since it uses less digits than its factorization.

2979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 2979200 is about 1726.0359208313. The cubic root of 2979200 is about 143.8908638097.

Multiplying 2979200 by its reverse (29792), we get a square (88756326400 = 297920²).

2979200 divided by its reverse (29792) gives a square (100 = 10²).

The spelling of 2979200 in words is "two million, nine hundred seventy-nine thousand, two hundred".