2426112000 has 672 divisors, whose sum is σ = 9775223640. Its totient is φ = 597196800.

The previous prime is 2426111981. The next prime is 2426112023. The reversal of 2426112000 is 2116242.

It can be written as a sum of positive squares in 4 ways, for example, as 329204736 + 2096907264 = 18144^2 + 45792^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 186623994 + ... + 186624006.

Almost surely, 2^2426112000 is an apocalyptic number.

2426112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2426112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4887611820).

2426112000 is an abundant number, since it is smaller than the sum of its proper divisors (7349111640).

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

2426112000 is an frugal number, since it uses more digits than its factorization.

2426112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2426112000 is about 49255.5783642828. The cubic root of 2426112000 is about 1343.7040164542.

Adding to 2426112000 its reverse (2116242), we get a palindrome (2428228242).

The spelling of 2426112000 in words is "two billion, four hundred twenty-six million, one hundred twelve thousand".