2021252000 has 48 divisors (see below), whose sum is σ = 4966225992. Its totient is φ = 808499200.

The previous prime is 2021251957. The next prime is 2021252017. The reversal of 2021252000 is 2521202.

It can be written as a sum of positive squares in 4 ways, for example, as 279692176 + 1741559824 = 16724^2 + 41732^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248657 + ... + 256656.

Almost surely, 2^2021252000 is an apocalyptic number.

2021252000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021252000 is an abundant number, since it is smaller than the sum of its proper divisors (2944973992).

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

2021252000 is an equidigital number, since it uses as much as digits as its factorization.

2021252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505338 (or 505320 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 2021252000 is about 44958.3362681494. The cubic root of 2021252000 is about 1264.3679762376.

Adding to 2021252000 its reverse (2521202), we get a palindrome (2023773202).

The spelling of 2021252000 in words is "two billion, twenty-one million, two hundred fifty-two thousand".