2422167840 has 384 divisors, whose sum is σ = 8817984000. Its totient is φ = 620605440.

The previous prime is 2422167817. The next prime is 2422167859. The reversal of 2422167840 is 487612242.

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

It is a junction number, because it is equal to n+sod(n) for n = 2422167795 and 2422167804.

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 63 ways as a sum of consecutive naturals, for example, 16256086 + ... + 16256234.

It is an arithmetic number, because the mean of its divisors is an integer number (22963500).

Almost surely, 2^2422167840 is an apocalyptic number.

2422167840 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 2422167840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408992000).

2422167840 is an abundant number, since it is smaller than the sum of its proper divisors (6395816160).

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

2422167840 is a wasteful number, since it uses less digits than its factorization.

2422167840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2422167840 is about 49215.5243800165. The cubic root of 2422167840 is about 1342.9754628116.

The spelling of 2422167840 in words is "two billion, four hundred twenty-two million, one hundred sixty-seven thousand, eight hundred forty".