2250688 has 56 divisors (see below), whose sum is σ = 5120640. Its totient is φ = 971520.

The previous prime is 2250679. The next prime is 2250709. The reversal of 2250688 is 8860522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16123 + ... + 16261.

It is an arithmetic number, because the mean of its divisors is an integer number (91440).

2^2250688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560320).

2250688 is an abundant number, since it is smaller than the sum of its proper divisors (2869952).

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

2250688 is a wasteful number, since it uses less digits than its factorization.

2250688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 2250688 is about 1500.2293158048. The cubic root of 2250688 is about 131.0504244240.

It can be divided in two parts, 22 and 50688, that multiplied together give a square (1115136 = 1056²).

The spelling of 2250688 in words is "two million, two hundred fifty thousand, six hundred eighty-eight".