2400285808 has 40 divisors (see below), whose sum is σ = 4905440000. Its totient is φ = 1134627264.

The previous prime is 2400285803. The next prime is 2400285809. The reversal of 2400285808 is 8085820042.

It is a super-2 number, since 2×2400285808² = 11522743920172425728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400285803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143785 + ... + 159607.

It is an arithmetic number, because the mean of its divisors is an integer number (122636000).

Almost surely, 2^2400285808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400285808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452720000).

2400285808 is an abundant number, since it is smaller than the sum of its proper divisors (2505154192).

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

2400285808 is a wasteful number, since it uses less digits than its factorization.

2400285808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16349 (or 16343 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 37.

The square root of 2400285808 is about 48992.7117845093. The cubic root of 2400285808 is about 1338.9190450805.

The spelling of 2400285808 in words is "two billion, four hundred million, two hundred eighty-five thousand, eight hundred eight".