2428100 has 18 divisors (see below), whose sum is σ = 5269194. Its totient is φ = 971200.

The previous prime is 2428099. The next prime is 2428103. The reversal of 2428100 is 18242.

It can be written as a sum of positive squares in 3 ways, for example, as 643204 + 1784896 = 802^2 + 1336^2 .

It is a super-2 number, since 2×2428100² = 11791339220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2428103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12041 + ... + 12240.

It is an arithmetic number, because the mean of its divisors is an integer number (292733).

2^2428100 is an apocalyptic number.

2428100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2428100 is an abundant number, since it is smaller than the sum of its proper divisors (2841094).

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

2428100 is a wasteful number, since it uses less digits than its factorization.

2428100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24295 (or 24288 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2428100 is about 1558.2361823549. The cubic root of 2428100 is about 134.4070934701.

The spelling of 2428100 in words is "two million, four hundred twenty-eight thousand, one hundred".