2407286016 has 216 divisors, whose sum is σ = 7380638720. Its totient is φ = 752467968.

The previous prime is 2407285981. The next prime is 2407286017. The reversal of 2407286016 is 6106827042.

2407286016 is a `hidden beast` number, since 2 + 40 + 7 + 2 + 8 + 601 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2407286017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5559336 + ... + 5559768.

Almost surely, 2^2407286016 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 2407286016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690319360).

2407286016 is an abundant number, since it is smaller than the sum of its proper divisors (4973352704).

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

2407286016 is a wasteful number, since it uses less digits than its factorization.

2407286016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2407286016 is about 49064.1010923465. The cubic root of 2407286016 is about 1340.2193923099.

The spelling of 2407286016 in words is "two billion, four hundred seven million, two hundred eighty-six thousand, sixteen".