2408285880 has 768 divisors, whose sum is σ = 10831242240. Its totient is φ = 447897600.

The previous prime is 2408285879. The next prime is 2408285897. The reversal of 2408285880 is 885828042.

2408285880 is a `hidden beast` number, since 2 + 40 + 8 + 28 + 588 + 0 = 666.

2408285880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14774679 + ... + 14774841.

It is an arithmetic number, because the mean of its divisors is an integer number (14103180).

Almost surely, 2^2408285880 is an apocalyptic number.

2408285880 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 2408285880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5415621120).

2408285880 is an abundant number, since it is smaller than the sum of its proper divisors (8422956360).

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

2408285880 is a wasteful number, since it uses less digits than its factorization.

2408285880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 2408285880 is about 49074.2893988288. The cubic root of 2408285880 is about 1340.4049195840.

The spelling of 2408285880 in words is "two billion, four hundred eight million, two hundred eighty-five thousand, eight hundred eighty".