2409938000 has 40 divisors (see below), whose sum is σ = 5827234920. Its totient is φ = 963974400.

The previous prime is 2409937993. The next prime is 2409938023. The reversal of 2409938000 is 8399042.

It can be written as a sum of positive squares in 4 ways, for example, as 56911936 + 2353026064 = 7544^2 + 48508^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 600485 + ... + 604484.

It is an arithmetic number, because the mean of its divisors is an integer number (145680873).

Almost surely, 2^2409938000 is an apocalyptic number.

2409938000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2409938000 is an abundant number, since it is smaller than the sum of its proper divisors (3417296920).

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

2409938000 is a wasteful number, since it uses less digits than its factorization.

2409938000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204992 (or 1204976 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 2409938000 is about 49091.1193598190. The cubic root of 2409938000 is about 1340.7113621028.

The spelling of 2409938000 in words is "two billion, four hundred nine million, nine hundred thirty-eight thousand".