2052021288960 has 520 divisors, whose sum is σ = 7405597249776. Its totient is φ = 543581798400.

The previous prime is 2052021288923. The next prime is 2052021288979. The reversal of 2052021288960 is 698821202502.

2052021288960 is a `hidden beast` number, since 2 + 0 + 520 + 21 + 28 + 89 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13589544885 + ... + 13589545035.

Almost surely, 2^{2052021288960} is an apocalyptic number.

2052021288960 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 2052021288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702798624888).

2052021288960 is an abundant number, since it is smaller than the sum of its proper divisors (5353575960816).

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

2052021288960 is an frugal number, since it uses more digits than its factorization.

2052021288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2052021288960 in words is "two trillion, fifty-two billion, twenty-one million, two hundred eighty-eight thousand, nine hundred sixty".