2409572016 has 160 divisors (see below), whose sum is σ = 7165255680. Its totient is φ = 774676224.

The previous prime is 2409571991. The next prime is 2409572021. The reversal of 2409572016 is 6102759042.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2029375 + ... + 2030561.

It is an arithmetic number, because the mean of its divisors is an integer number (44782848).

Almost surely, 2^2409572016 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 2409572016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582627840).

2409572016 is an abundant number, since it is smaller than the sum of its proper divisors (4755683664).

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

2409572016 is a wasteful number, since it uses less digits than its factorization.

2409572016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2409572016 is about 49087.3916194373. The cubic root of 2409572016 is about 1340.6434898521.

The spelling of 2409572016 in words is "two billion, four hundred nine million, five hundred seventy-two thousand, sixteen".