2428880200 has 72 divisors (see below), whose sum is σ = 5960184930. Its totient is φ = 920390400.

The previous prime is 2428880191. The next prime is 2428880203. The reversal of 2428880200 is 20888242.

It can be written as a sum of positive squares in 3 ways, for example, as 2124656836 + 304223364 = 46094^2 + 17442^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2428880203) 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, 55380 + ... + 89020.

Almost surely, 2^2428880200 is an apocalyptic number.

2428880200 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 2428880200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980092465).

2428880200 is an abundant number, since it is smaller than the sum of its proper divisors (3531304730).

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

2428880200 is a wasteful number, since it uses less digits than its factorization.

2428880200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33695 (or 33667 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 2428880200 is about 49283.6707236789. The cubic root of 2428880200 is about 1344.2148787787.

The spelling of 2428880200 in words is "two billion, four hundred twenty-eight million, eight hundred eighty thousand, two hundred".