2409864880 has 40 divisors (see below), whose sum is σ = 5609913264. Its totient is φ = 962745600.

The previous prime is 2409864827. The next prime is 2409864883. The reversal of 2409864880 is 884689042.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2409864883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47335 + ... + 84025.

Almost surely, 2^2409864880 is an apocalyptic number.

2409864880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2409864880 is an abundant number, since it is smaller than the sum of its proper divisors (3200048384).

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

2409864880 is a wasteful number, since it uses less digits than its factorization.

2409864880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37525 (or 37519 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 49.

The square root of 2409864880 is about 49090.3746166191. The cubic root of 2409864880 is about 1340.6978024446.

The spelling of 2409864880 in words is "two billion, four hundred nine million, eight hundred sixty-four thousand, eight hundred eighty".