2409507408 has 160 divisors (see below), whose sum is σ = 7941491712. Its totient is φ = 611251200.

The previous prime is 2409507407. The next prime is 2409507421. The reversal of 2409507408 is 8047059042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2409507403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151348 + ... + 166508.

Almost surely, 2^2409507408 is an apocalyptic number.

2409507408 is a gapful number since it is divisible by the number (28) 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 2409507408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970745856).

2409507408 is an abundant number, since it is smaller than the sum of its proper divisors (5531984304).

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

2409507408 is a wasteful number, since it uses less digits than its factorization.

2409507408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15233 (or 15227 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 2409507408 is about 49086.7335234277. The cubic root of 2409507408 is about 1340.6315074934.

The spelling of 2409507408 in words is "two billion, four hundred nine million, five hundred seven thousand, four hundred eight".