2949200 has 60 divisors (see below), whose sum is σ = 7253628. Its totient is φ = 1152000.

The previous prime is 2949179. The next prime is 2949209. The reversal of 2949200 is 29492.

It can be written as a sum of positive squares in 6 ways, for example, as 99856 + 2849344 = 316^2 + 1688^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2949200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2949209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29150 + ... + 29250.

2^2949200 is an apocalyptic number.

2949200 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 2949200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626814).

2949200 is an abundant number, since it is smaller than the sum of its proper divisors (4304428).

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

2949200 is a wasteful number, since it uses less digits than its factorization.

2949200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 2949200 is about 1717.3234989366. The cubic root of 2949200 is about 143.4062485809.

Multiplying 2949200 by its reverse (29492), we get a square (86977806400 = 294920²).

2949200 divided by its reverse (29492) gives a square (100 = 10²).

The spelling of 2949200 in words is "two million, nine hundred forty-nine thousand, two hundred".