2488200 has 192 divisors, whose sum is σ = 9374400. Its totient is φ = 537600.

The previous prime is 2488193. The next prime is 2488217. The reversal of 2488200 is 28842.

2488200 = 20² + 21² + ... + 195².

It is a super-2 number, since 2×2488200² = 12382278480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85786 + ... + 85814.

It is an arithmetic number, because the mean of its divisors is an integer number (48825).

2^2488200 is an apocalyptic number.

2488200 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 2488200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687200).

2488200 is an abundant number, since it is smaller than the sum of its proper divisors (6886200).

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

2488200 is a wasteful number, since it uses less digits than its factorization.

2488200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2488200 is about 1577.4029288676. The cubic root of 2488200 is about 135.5070097997.

It can be divided in two parts, 248 and 8200, that added together give a palindrome (8448).

The spelling of 2488200 in words is "two million, four hundred eighty-eight thousand, two hundred".