2406768000 has 1024 divisors, whose sum is σ = 10692864000. Its totient is φ = 464486400.

The previous prime is 2406767999. The next prime is 2406768031. The reversal of 2406768000 is 8676042.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82991986 + ... + 82992014.

It is an arithmetic number, because the mean of its divisors is an integer number (10442250).

Almost surely, 2^2406768000 is an apocalyptic number.

2406768000 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 2406768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346432000).

2406768000 is an abundant number, since it is smaller than the sum of its proper divisors (8286096000).

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

2406768000 is a wasteful number, since it uses less digits than its factorization.

2406768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2406768000 is about 49058.8218366483. The cubic root of 2406768000 is about 1340.1232529385.

The spelling of 2406768000 in words is "two billion, four hundred six million, seven hundred sixty-eight thousand".