2022257664 has 396 divisors, whose sum is σ = 7090873504. Its totient is φ = 564350976.

The previous prime is 2022257663. The next prime is 2022257669. The reversal of 2022257664 is 4667522202.

2022257664 is a `hidden beast` number, since 2 + 0 + 2 + 22 + 576 + 64 = 666.

It is a super-3 number, since 3×2022257664³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022257663) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47029227 + ... + 47029269.

Almost surely, 2^2022257664 is an apocalyptic number.

2022257664 is a gapful number since it is divisible by the number (24) 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 2022257664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545436752).

2022257664 is an abundant number, since it is smaller than the sum of its proper divisors (5068615840).

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

2022257664 is an frugal number, since it uses more digits than its factorization.

2022257664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2022257664 is about 44969.5192769502. The cubic root of 2022257664 is about 1264.5776348277.

Adding to 2022257664 its reverse (4667522202), we get a palindrome (6689779866).

The spelling of 2022257664 in words is "two billion, twenty-two million, two hundred fifty-seven thousand, six hundred sixty-four".