2406681960 has 128 divisors (see below), whose sum is σ = 7443999360. Its totient is φ = 622080000.

The previous prime is 2406681917. The next prime is 2406681989. The reversal of 2406681960 is 691866042.

2406681960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 800460 + ... + 803460.

It is an arithmetic number, because the mean of its divisors is an integer number (58156245).

Almost surely, 2^2406681960 is an apocalyptic number.

2406681960 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 2406681960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3721999680).

2406681960 is an abundant number, since it is smaller than the sum of its proper divisors (5037317400).

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

2406681960 is a wasteful number, since it uses less digits than its factorization.

2406681960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 2406681960 is about 49057.9449223059. The cubic root of 2406681960 is about 1340.1072833092.

The spelling of 2406681960 in words is "two billion, four hundred six million, six hundred eighty-one thousand, nine hundred sixty".