2406620160 has 440 divisors, whose sum is σ = 9867850080. Its totient is φ = 549421056.

The previous prime is 2406620159. The next prime is 2406620201. The reversal of 2406620160 is 610266042.

It is a happy number.

2406620160 is a `hidden beast` number, since 24 + 0 + 6 + 620 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2902626 + ... + 2903454.

It is an arithmetic number, because the mean of its divisors is an integer number (22426932).

Almost surely, 2^2406620160 is an apocalyptic number.

2406620160 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 2406620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933925040).

2406620160 is an abundant number, since it is smaller than the sum of its proper divisors (7461229920).

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

2406620160 is an equidigital number, since it uses as much as digits as its factorization.

2406620160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2406620160 is about 49057.3150508668. The cubic root of 2406620160 is about 1340.0958125595.

The spelling of 2406620160 in words is "two billion, four hundred six million, six hundred twenty thousand, one hundred sixty".