2789200 has 60 divisors (see below), whose sum is σ = 7072960. Its totient is φ = 1054080.

The previous prime is 2789197. The next prime is 2789203. The reversal of 2789200 is 29872.

It is an interprime number because it is at equal distance from previous prime (2789197) and next prime (2789203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2789203) 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, 7417 + ... + 7783.

2^2789200 is an apocalyptic number.

2789200 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 2789200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536480).

2789200 is an abundant number, since it is smaller than the sum of its proper divisors (4283760).

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

2789200 is a wasteful number, since it uses less digits than its factorization.

2789200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 2789200 is about 1670.0898179439. The cubic root of 2789200 is about 140.7645248953.

The spelling of 2789200 in words is "two million, seven hundred eighty-nine thousand, two hundred".