2427930100 has 18 divisors (see below), whose sum is σ = 5268608534. Its totient is φ = 971172000.

The previous prime is 2427930073. The next prime is 2427930101. The reversal of 2427930100 is 10397242.

2427930100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3549456 + 2424380644 = 1884^2 + 49238^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2427930101) 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, 12139551 + ... + 12139750.

Almost surely, 2^2427930100 is an apocalyptic number.

2427930100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2427930100 is an abundant number, since it is smaller than the sum of its proper divisors (2840678434).

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

2427930100 is a wasteful number, since it uses less digits than its factorization.

2427930100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24279315 (or 24279308 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 2427930100 is about 49274.0306855447. The cubic root of 2427930100 is about 1344.0395846771.

Subtracting from 2427930100 its product of nonzero digits (3024), we obtain a square (2427927076 = 49274²).

The spelling of 2427930100 in words is "two billion, four hundred twenty-seven million, nine hundred thirty thousand, one hundred".