2822389920 has 480 divisors, whose sum is σ = 11618183808. Its totient is φ = 631867392.

The previous prime is 2822389919. The next prime is 2822389931. The reversal of 2822389920 is 299832282.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 79 ways as a sum of consecutive naturals, for example, 4807867 + ... + 4808453.

Almost surely, 2^2822389920 is an apocalyptic number.

2822389920 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 2822389920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809091904).

2822389920 is an abundant number, since it is smaller than the sum of its proper divisors (8795793888).

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

2822389920 is a wasteful number, since it uses less digits than its factorization.

2822389920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2822389920 is about 53126.1698224143. The cubic root of 2822389920 is about 1413.2066448287.

The spelling of 2822389920 in words is "two billion, eight hundred twenty-two million, three hundred eighty-nine thousand, nine hundred twenty".