2491200 has 126 divisors (see below), whose sum is σ = 8905494. Its totient is φ = 660480.

The previous prime is 2491189. The next prime is 2491207. The reversal of 2491200 is 21942.

It can be written as a sum of positive squares in 3 ways, for example, as 553536 + 1937664 = 744^2 + 1392^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2491207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14314 + ... + 14486.

2^2491200 is an apocalyptic number.

2491200 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 2491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452747).

2491200 is an abundant number, since it is smaller than the sum of its proper divisors (6414294).

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

2491200 is a wasteful number, since it uses less digits than its factorization.

2491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2491200 is about 1578.3535725559. The cubic root of 2491200 is about 135.5614477815.

The spelling of 2491200 in words is "two million, four hundred ninety-one thousand, two hundred".