2022757920 has 240 divisors, whose sum is σ = 7559393688. Its totient is φ = 507617280.

The previous prime is 2022757907. The next prime is 2022757951. The reversal of 2022757920 is 297572202.

It can be written as a sum of positive squares in 4 ways, for example, as 1906894224 + 115863696 = 43668^2 + 10764^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 215730 + ... + 224910.

Almost surely, 2^2022757920 is an apocalyptic number.

2022757920 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 2022757920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779696844).

2022757920 is an abundant number, since it is smaller than the sum of its proper divisors (5536635768).

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

2022757920 is a wasteful number, since it uses less digits than its factorization.

2022757920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9225 (or 9208 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 2022757920 is about 44975.0811005383. The cubic root of 2022757920 is about 1264.6819011968.

The spelling of 2022757920 in words is "two billion, twenty-two million, seven hundred fifty-seven thousand, nine hundred twenty".