2052170851600 has 135 divisors (see below), whose sum is σ = 5056420001871. Its totient is φ = 800388748800.

The previous prime is 2052170851579. The next prime is 2052170851609. The reversal of 2052170851600 is 61580712502.

The square root of 2052170851600 is 1432540.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 863791795216 + 1188379056384 = 929404^2 + 1090128^2 .

It is a super-2 number, since 2×2052170851600² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2052170851600.

It is not an unprimeable number, because it can be changed into a prime (2052170851609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1174681927 + ... + 1174683673.

Almost surely, 2^{2052170851600} is an apocalyptic number.

2052170851600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2052170851600 is the 1432540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2052170851600

2052170851600 is an abundant number, since it is smaller than the sum of its proper divisors (3004249150271).

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

2052170851600 is an frugal number, since it uses more digits than its factorization.

2052170851600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

The spelling of 2052170851600 in words is "two trillion, fifty-two billion, one hundred seventy million, eight hundred fifty-one thousand, six hundred".