2052221681664 has 1800 divisors, whose sum is σ = 8244261083520. Its totient is φ = 501645312000.

The previous prime is 2052221681611. The next prime is 2052221681677. The reversal of 2052221681664 is 4661861222502.

2052221681664 is a `hidden beast` number, since 2 + 0 + 522 + 2 + 1 + 68 + 1 + 6 + 64 = 666.

It is a super-2 number, since 2×2052221681664² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13590871989 + ... + 13590872139.

Almost surely, 2^{2052221681664} is an apocalyptic number.

2052221681664 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 2052221681664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122130541760).

2052221681664 is an abundant number, since it is smaller than the sum of its proper divisors (6192039401856).

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

2052221681664 is a wasteful number, since it uses less digits than its factorization.

2052221681664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2052221681664 in words is "two trillion, fifty-two billion, two hundred twenty-one million, six hundred eighty-one thousand, six hundred sixty-four".