2428809580100 has 36 divisors (see below), whose sum is σ = 5270637071700. Its totient is φ = 971501660160.

The previous prime is 2428809580081. The next prime is 2428809580117. The reversal of 2428809580100 is 10859088242.

It can be written as a sum of positive squares in 6 ways, for example, as 1221222916 + 2427588357184 = 34946^2 + 1558072^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4543736 + ... + 5050064.

It is an arithmetic number, because the mean of its divisors is an integer number (146406585325).

Almost surely, 2^{2428809580100} is an apocalyptic number.

2428809580100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2428809580100 is an abundant number, since it is smaller than the sum of its proper divisors (2841827491600).

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

2428809580100 is a wasteful number, since it uses less digits than its factorization.

2428809580100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554312 (or 554305 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 47.

The spelling of 2428809580100 in words is "two trillion, four hundred twenty-eight billion, eight hundred nine million, five hundred eighty thousand, one hundred".