2800252 has 48 divisors (see below), whose sum is σ = 6193600. Its totient is φ = 1100736.

The previous prime is 2800249. The next prime is 2800267. The reversal of 2800252 is 2520082.

It is a super-2 number, since 2×2800252² = 15682822527008, which contains 22 as substring.

2800252 is a modest number, since divided by 252 gives 28 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17758 + ... + 17914.

2^2800252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2800252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096800).

2800252 is an abundant number, since it is smaller than the sum of its proper divisors (3393348).

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

2800252 is a wasteful number, since it uses less digits than its factorization.

2800252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2800252 is about 1673.3953507764. The cubic root of 2800252 is about 140.9502028937.

It can be divided in two parts, 2800 and 252, that multiplied together give a square (705600 = 840²).

The spelling of 2800252 in words is "two million, eight hundred thousand, two hundred fifty-two".