2151200 has 36 divisors (see below), whose sum is σ = 5253570. Its totient is φ = 860160.

The previous prime is 2151179. The next prime is 2151203. The reversal of 2151200 is 21512.

It can be written as a sum of positive squares in 3 ways, for example, as 976144 + 1175056 = 988^2 + 1084^2 .

It is a super-2 number, since 2×2151200² = 9255322880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2151203) 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 5 ways as a sum of consecutive naturals, for example, 545 + ... + 2144.

2^2151200 is an apocalyptic number.

2151200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2151200 is an abundant number, since it is smaller than the sum of its proper divisors (3102370).

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

2151200 is a wasteful number, since it uses less digits than its factorization.

2151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 2151200 is about 1466.6969693839. The cubic root of 2151200 is about 129.0902959340.

Adding to 2151200 its reverse (21512), we get a palindrome (2172712).

Multiplying 2151200 by its reverse (21512), we get a square (46276614400 = 215120²).

2151200 divided by its reverse (21512) gives a square (100 = 10²).

The spelling of 2151200 in words is "two million, one hundred fifty-one thousand, two hundred".