2408196420 has 240 divisors, whose sum is σ = 9089055360. Its totient is φ = 521427456.

The previous prime is 2408196391. The next prime is 2408196437. The reversal of 2408196420 is 246918042.

2408196420 is a `hidden beast` number, since 2 + 4 + 0 + 8 + 1 + 9 + 642 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 209872 + ... + 221048.

It is an arithmetic number, because the mean of its divisors is an integer number (37871064).

Almost surely, 2^2408196420 is an apocalyptic number.

2408196420 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 2408196420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4544527680).

2408196420 is an abundant number, since it is smaller than the sum of its proper divisors (6680858940).

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

2408196420 is a wasteful number, since it uses less digits than its factorization.

2408196420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11224 (or 11213 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2408196420 is about 49073.3779151181. The cubic root of 2408196420 is about 1340.3883221484.

The spelling of 2408196420 in words is "two billion, four hundred eight million, one hundred ninety-six thousand, four hundred twenty".