2408200000 has 84 divisors (see below), whose sum is σ = 5973578604. Its totient is φ = 963200000.

The previous prime is 2408199977. The next prime is 2408200013. The reversal of 2408200000 is 28042.

It can be written as a sum of positive squares in 6 ways, for example, as 1857265216 + 550934784 = 43096^2 + 23472^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193980 + ... + 206020.

It is an arithmetic number, because the mean of its divisors is an integer number (71114031).

Almost surely, 2^2408200000 is an apocalyptic number.

2408200000 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 2408200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986789302).

2408200000 is an abundant number, since it is smaller than the sum of its proper divisors (3565378604).

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

2408200000 is an frugal number, since it uses more digits than its factorization.

2408200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12078 (or 12048 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2408200000 is about 49073.4143910937. The cubic root of 2408200000 is about 1340.3889863506.

Adding to 2408200000 its reverse (28042), we get a palindrome (2408228042).

The spelling of 2408200000 in words is "two billion, four hundred eight million, two hundred thousand".