2022257664000 has 2016 divisors, whose sum is σ = 8853192855936. Its totient is φ = 451480780800.

The previous prime is 2022257663981. The next prime is 2022257664001. The reversal of 2022257664000 is 4667522202.

2022257664000 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 2 + 5 + 7 + 6 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×2022257664000³ (a number of 38 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2022257664001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47029247979 + ... + 47029248021.

Almost surely, 2^{2022257664000} is an apocalyptic number.

2022257664000 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 2022257664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4426596427968).

2022257664000 is an abundant number, since it is smaller than the sum of its proper divisors (6830935191936).

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

2022257664000 is an frugal number, since it uses more digits than its factorization.

2022257664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 60 counting only the distinct ones).

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

The spelling of 2022257664000 in words is "two trillion, twenty-two billion, two hundred fifty-seven million, six hundred sixty-four thousand".