2406205296 has 240 divisors, whose sum is σ = 8189475840. Its totient is φ = 650004480.

The previous prime is 2406205289. The next prime is 2406205297. The reversal of 2406205296 is 6925026042.

2406205296 is a `hidden beast` number, since 2 + 4 + 0 + 620 + 5 + 29 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2406205296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2406205297) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509281 + ... + 513983.

It is an arithmetic number, because the mean of its divisors is an integer number (34122816).

Almost surely, 2^2406205296 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 2406205296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094737920).

2406205296 is an abundant number, since it is smaller than the sum of its proper divisors (5783270544).

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

2406205296 is a wasteful number, since it uses less digits than its factorization.

2406205296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4764 (or 4755 counting only the distinct ones).

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

The square root of 2406205296 is about 49053.0865083941. The cubic root of 2406205296 is about 1340.0188042212.

It can be divided in two parts, 2406 and 205296, that added together give a palindrome (207702).

The spelling of 2406205296 in words is "two billion, four hundred six million, two hundred five thousand, two hundred ninety-six".