2409164352 has 168 divisors, whose sum is σ = 8060472576. Its totient is φ = 673634304.

The previous prime is 2409164327. The next prime is 2409164353. The reversal of 2409164352 is 2534619042.

It is a happy number.

2409164352 is a `hidden beast` number, since 2 + 4 + 0 + 9 + 1 + 643 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (2409164353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183148 + ... + 195860.

Almost surely, 2^2409164352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2409164352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030236288).

2409164352 is an abundant number, since it is smaller than the sum of its proper divisors (5651308224).

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

2409164352 is a wasteful number, since it uses less digits than its factorization.

2409164352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12785 (or 12772 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2409164352 is about 49083.2390129258. The cubic root of 2409164352 is about 1340.5678798947.

The spelling of 2409164352 in words is "two billion, four hundred nine million, one hundred sixty-four thousand, three hundred fifty-two".