2406538368 has 288 divisors, whose sum is σ = 7687405440. Its totient is φ = 721963008.

The previous prime is 2406538363. The next prime is 2406538417. The reversal of 2406538368 is 8638356042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2406538368² = 11582853833312206848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2406538363) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9150205 + ... + 9150467.

It is an arithmetic number, because the mean of its divisors is an integer number (26692380).

Almost surely, 2^2406538368 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 2406538368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843702720).

2406538368 is an abundant number, since it is smaller than the sum of its proper divisors (5280867072).

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

2406538368 is a wasteful number, since it uses less digits than its factorization.

2406538368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2406538368 is about 49056.4814066398. The cubic root of 2406538368 is about 1340.0806307760.

The spelling of 2406538368 in words is "two billion, four hundred six million, five hundred thirty-eight thousand, three hundred sixty-eight".