2409129216 has 288 divisors, whose sum is σ = 7790419840. Its totient is φ = 739031040.

The previous prime is 2409129197. The next prime is 2409129259. The reversal of 2409129216 is 6129219042.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7278171 + ... + 7278501.

Almost surely, 2^2409129216 is an apocalyptic number.

2409129216 is a gapful number since it is divisible by the number (26) 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 2409129216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895209920).

2409129216 is an abundant number, since it is smaller than the sum of its proper divisors (5381290624).

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

2409129216 is an frugal number, since it uses more digits than its factorization.

2409129216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2409129216 is about 49082.8810890314. The cubic root of 2409129216 is about 1340.5613627771.

The spelling of 2409129216 in words is "two billion, four hundred nine million, one hundred twenty-nine thousand, two hundred sixteen".