2022608640 has 288 divisors, whose sum is σ = 7186507776. Its totient is φ = 481443840.

The previous prime is 2022608611. The next prime is 2022608701. The reversal of 2022608640 is 468062202.

2022608640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2022608598 and 2022608607.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1546867 + ... + 1548173.

It is an arithmetic number, because the mean of its divisors is an integer number (24953152).

Almost surely, 2^2022608640 is an apocalyptic number.

2022608640 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 2022608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593253888).

2022608640 is an abundant number, since it is smaller than the sum of its proper divisors (5163899136).

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

2022608640 is a wasteful number, since it uses less digits than its factorization.

2022608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2022608640 is about 44973.4214842500. The cubic root of 2022608640 is about 1264.6507891597.

The spelling of 2022608640 in words is "two billion, twenty-two million, six hundred eight thousand, six hundred forty".