2405829888 has 432 divisors, whose sum is σ = 8815951872. Its totient is φ = 612864000.

The previous prime is 2405829887. The next prime is 2405829893. The reversal of 2405829888 is 8889285042.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2405829883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12595873 + ... + 12596063.

It is an arithmetic number, because the mean of its divisors is an integer number (20407296).

Almost surely, 2^2405829888 is an apocalyptic number.

2405829888 is a gapful number since it is divisible by the number (28) 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 2405829888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4407975936).

2405829888 is an abundant number, since it is smaller than the sum of its proper divisors (6410121984).

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

2405829888 is a wasteful number, since it uses less digits than its factorization.

2405829888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The square root of 2405829888 is about 49049.2598109288. The cubic root of 2405829888 is about 1339.9491121983.

The spelling of 2405829888 in words is "two billion, four hundred five million, eight hundred twenty-nine thousand, eight hundred eighty-eight".