2409145200 has 480 divisors, whose sum is σ = 10694315520. Its totient is φ = 500428800.

The previous prime is 2409145153. The next prime is 2409145201. The reversal of 2409145200 is 25419042.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2409145201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 830152 + ... + 833048.

It is an arithmetic number, because the mean of its divisors is an integer number (22279824).

Almost surely, 2^2409145200 is an apocalyptic number.

2409145200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2409145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5347157760).

2409145200 is an abundant number, since it is smaller than the sum of its proper divisors (8285170320).

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

2409145200 is a wasteful number, since it uses less digits than its factorization.

2409145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2409145200 is about 49083.0439153889. The cubic root of 2409145200 is about 1340.5643275393.

The spelling of 2409145200 in words is "two billion, four hundred nine million, one hundred forty-five thousand, two hundred".