2405728960 has 84 divisors (see below), whose sum is σ = 5920154784. Its totient is φ = 931130880.

The previous prime is 2405728951. The next prime is 2405728967. The reversal of 2405728960 is 698275042.

It is not an unprimeable number, because it can be changed into a prime (2405728967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 303609 + ... + 311431.

Almost surely, 2^2405728960 is an apocalyptic number.

2405728960 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 2405728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2960077392).

2405728960 is an abundant number, since it is smaller than the sum of its proper divisors (3514425824).

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

2405728960 is an equidigital number, since it uses as much as digits as its factorization.

2405728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7902 (or 7861 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 2405728960 is about 49048.2309568857. The cubic root of 2405728960 is about 1339.9303743433.

The spelling of 2405728960 in words is "two billion, four hundred five million, seven hundred twenty-eight thousand, nine hundred sixty".