2168400420 has 72 divisors (see below), whose sum is σ = 6593408640. Its totient is φ = 576840000.

The previous prime is 2168400419. The next prime is 2168400433. The reversal of 2168400420 is 240048612.

2168400420 is a `hidden beast` number, since 216 + 8 + 400 + 42 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 61045 + ... + 89795.

It is an arithmetic number, because the mean of its divisors is an integer number (91575120).

Almost surely, 2^2168400420 is an apocalyptic number.

2168400420 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 2168400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296704320).

2168400420 is an abundant number, since it is smaller than the sum of its proper divisors (4425008220).

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

2168400420 is a wasteful number, since it uses less digits than its factorization.

2168400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29185 (or 29180 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2168400420 is about 46566.0865866996. The cubic root of 2168400420 is about 1294.3344015259.

The spelling of 2168400420 in words is "two billion, one hundred sixty-eight million, four hundred thousand, four hundred twenty".