2408200638480 has 1200 divisors, whose sum is σ = 10393891605504. Its totient is φ = 505989918720.

The previous prime is 2408200638457. The next prime is 2408200638601. The reversal of 2408200638480 is 848360028042.

2408200638480 is a `hidden beast` number, since 2 + 4 + 0 + 8 + 2 + 0 + 0 + 638 + 4 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2430070785 + ... + 2430071775.

Almost surely, 2^{2408200638480} is an apocalyptic number.

2408200638480 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 2408200638480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5196945802752).

2408200638480 is an abundant number, since it is smaller than the sum of its proper divisors (7985690967024).

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

2408200638480 is a wasteful number, since it uses less digits than its factorization.

2408200638480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 2408200638480 in words is "two trillion, four hundred eight billion, two hundred million, six hundred thirty-eight thousand, four hundred eighty".