2442408192 has 216 divisors, whose sum is σ = 8099145600. Its totient is φ = 693411840.

The previous prime is 2442408131. The next prime is 2442408193. The reversal of 2442408192 is 2918042442.

2442408192 is a `hidden beast` number, since 24 + 42 + 408 + 192 = 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 (2442408193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3209092 + ... + 3209852.

Almost surely, 2^2442408192 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 2442408192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049572800).

2442408192 is an abundant number, since it is smaller than the sum of its proper divisors (5656737408).

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

2442408192 is a wasteful number, since it uses less digits than its factorization.

2442408192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2442408192 is about 49420.7263402714. The cubic root of 2442408192 is about 1346.7058581978.

The spelling of 2442408192 in words is "two billion, four hundred forty-two million, four hundred eight thousand, one hundred ninety-two".