2022562080 has 1152 divisors, whose sum is σ = 9680186880. Its totient is φ = 371589120.

The previous prime is 2022562079. The next prime is 2022562081. The reversal of 2022562080 is 802652202.

2022562080 is a `hidden beast` number, since 2 + 0 + 22 + 562 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2022562079) and next prime (2022562081).

It is not an unprimeable number, because it can be changed into a prime (2022562081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54663822 + ... + 54663858.

It is an arithmetic number, because the mean of its divisors is an integer number (8402940).

Almost surely, 2^2022562080 is an apocalyptic number.

2022562080 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 2022562080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840093440).

2022562080 is an abundant number, since it is smaller than the sum of its proper divisors (7657624800).

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

2022562080 is a wasteful number, since it uses less digits than its factorization.

2022562080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2022562080 is about 44972.9038422026. The cubic root of 2022562080 is about 1264.6410850921.

The spelling of 2022562080 in words is "two billion, twenty-two million, five hundred sixty-two thousand, eighty".