2407055616 has 540 divisors, whose sum is σ = 8796820032. Its totient is φ = 651442176.

The previous prime is 2407055597. The next prime is 2407055657. The reversal of 2407055616 is 6165507042.

It is a happy number.

2407055616 is a `hidden beast` number, since 24 + 0 + 70 + 5 + 561 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 23369421 + ... + 23369523.

Almost surely, 2^2407055616 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 2407055616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4398410016).

2407055616 is an abundant number, since it is smaller than the sum of its proper divisors (6389764416).

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

2407055616 is a wasteful number, since it uses less digits than its factorization.

2407055616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2407055616 is about 49061.7530873082. The cubic root of 2407055616 is about 1340.1766337292.

The spelling of 2407055616 in words is "two billion, four hundred seven million, fifty-five thousand, six hundred sixteen".