2406592416 has 96 divisors (see below), whose sum is σ = 6520082688. Its totient is φ = 776744960.

The previous prime is 2406592393. The next prime is 2406592417. The reversal of 2406592416 is 6142956042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2406592417) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 537001 + ... + 541463.

It is an arithmetic number, because the mean of its divisors is an integer number (67917528).

Almost surely, 2^2406592416 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 2406592416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260041344).

2406592416 is an abundant number, since it is smaller than the sum of its proper divisors (4113490272).

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

2406592416 is a wasteful number, since it uses less digits than its factorization.

2406592416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4654 (or 4646 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 2406592416 is about 49057.0322787671. The cubic root of 2406592416 is about 1340.0906629086.

The spelling of 2406592416 in words is "two billion, four hundred six million, five hundred ninety-two thousand, four hundred sixteen".