2406160960 has 224 divisors, whose sum is σ = 6991868160. Its totient is φ = 769916928.

The previous prime is 2406160927. The next prime is 2406160997. The reversal of 2406160960 is 690616042.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2406160960² = 11579221130856243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 6816144 + ... + 6816496.

Almost surely, 2^2406160960 is an apocalyptic number.

2406160960 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 2406160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495934080).

2406160960 is an abundant number, since it is smaller than the sum of its proper divisors (4585707200).

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

2406160960 is a wasteful number, since it uses less digits than its factorization.

2406160960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 2406160960 is about 49052.6345877569. The cubic root of 2406160960 is about 1340.0105739123.

The spelling of 2406160960 in words is "two billion, four hundred six million, one hundred sixty thousand, nine hundred sixty".