2251296 has 36 divisors (see below), whose sum is σ = 6402942. Its totient is φ = 750336.

The previous prime is 2251279. The next prime is 2251297. The reversal of 2251296 is 6921522.

It can be written as a sum of positive squares in only one way, i.e., 2250000 + 1296 = 1500^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2251297) 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, 3621 + ... + 4196.

2^2251296 is an apocalyptic number.

It is an amenable number.

2251296 is an abundant number, since it is smaller than the sum of its proper divisors (4151646).

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

2251296 is a wasteful number, since it uses less digits than its factorization.

2251296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7833 (or 7822 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 2251296 is about 1500.4319378099. The cubic root of 2251296 is about 131.0622239988.

It can be divided in two parts, 225 and 1296, that multiplied together give a square (291600 = 540²).

The spelling of 2251296 in words is "two million, two hundred fifty-one thousand, two hundred ninety-six".