2406705280 has 128 divisors (see below), whose sum is σ = 6861646080. Its totient is φ = 789245952.

The previous prime is 2406705263. The next prime is 2406705341. The reversal of 2406705280 is 825076042.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91362 + ... + 114718.

It is an arithmetic number, because the mean of its divisors is an integer number (53606610).

Almost surely, 2^2406705280 is an apocalyptic number.

2406705280 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 2406705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430823040).

2406705280 is an abundant number, since it is smaller than the sum of its proper divisors (4454940800).

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

2406705280 is a wasteful number, since it uses less digits than its factorization.

2406705280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23406 (or 23394 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 2406705280 is about 49058.1825998477. The cubic root of 2406705280 is about 1340.1116117028. Note that the first 3 decimals are identical.

The spelling of 2406705280 in words is "two billion, four hundred six million, seven hundred five thousand, two hundred eighty".