2152000 has 56 divisors (see below), whose sum is σ = 5349240. Its totient is φ = 857600.

The previous prime is 2151991. The next prime is 2152001. The reversal of 2152000 is 2512.

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 1700416 = 672^2 + 1304^2 .

It is a super-2 number, since 2×2152000² = 9262208000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2152001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7866 + ... + 8134.

2^2152000 is an apocalyptic number.

2152000 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 2152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674620).

2152000 is an abundant number, since it is smaller than the sum of its proper divisors (3197240).

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

2152000 is an equidigital number, since it uses as much as digits as its factorization.

2152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 2152000 is about 1466.9696656714. The cubic root of 2152000 is about 129.1062962188.

Adding to 2152000 its reverse (2512), we get a palindrome (2154512).

The spelling of 2152000 in words is "two million, one hundred fifty-two thousand".