20052000 has 144 divisors (see below), whose sum is σ = 71292312. Its totient is φ = 5337600.

The previous prime is 20051989. The next prime is 20052013. The reversal of 20052000 is 25002.

It can be written as a sum of positive squares in 4 ways, for example, as 2108304 + 17943696 = 1452^2 + 4236^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35722 + ... + 36278.

Almost surely, 2^20052000 is an apocalyptic number.

20052000 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 20052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35646156).

20052000 is an abundant number, since it is smaller than the sum of its proper divisors (51240312).

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

20052000 is a wasteful number, since it uses less digits than its factorization.

20052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 20052000 is about 4477.9459576909. The cubic root of 20052000 is about 271.6768075973.

Adding to 20052000 its reverse (25002), we get a palindrome (20077002).

It can be divided in two parts, 2005 and 2000, that added together give a triangular number (4005 = T₈₉).

The spelling of 20052000 in words is "twenty million, fifty-two thousand".