2409729504 has 384 divisors, whose sum is σ = 8291082240. Its totient is φ = 595482624.

The previous prime is 2409729493. The next prime is 2409729529. The reversal of 2409729504 is 4059279042.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13462087 + ... + 13462265.

It is an arithmetic number, because the mean of its divisors is an integer number (21591360).

Almost surely, 2^2409729504 is an apocalyptic number.

2409729504 is a gapful number since it is divisible by the number (24) 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 2409729504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145541120).

2409729504 is an abundant number, since it is smaller than the sum of its proper divisors (5881352736).

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

2409729504 is a wasteful number, since it uses less digits than its factorization.

2409729504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 2409729504 is about 49088.9957526124. The cubic root of 2409729504 is about 1340.6726970669.

The spelling of 2409729504 in words is "two billion, four hundred nine million, seven hundred twenty-nine thousand, five hundred four".