2418080000 has 360 divisors, whose sum is σ = 7356045312. Its totient is φ = 774144000.

The previous prime is 2418079997. The next prime is 2418080023. The reversal of 2418080000 is 808142.

It is a super-2 number, since 2×2418080000² = 11694221772800000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19039937 + ... + 19040063.

Almost surely, 2^2418080000 is an apocalyptic number.

2418080000 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 2418080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678022656).

2418080000 is an abundant number, since it is smaller than the sum of its proper divisors (4937965312).

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

2418080000 is an equidigital number, since it uses as much as digits as its factorization.

2418080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 2418080000 is about 49173.9768576836. The cubic root of 2418080000 is about 1342.2195339007.

Adding to 2418080000 its reverse (808142), we get a palindrome (2418888142).

The spelling of 2418080000 in words is "two billion, four hundred eighteen million, eighty thousand".