2251000 has 32 divisors (see below), whose sum is σ = 5269680. Its totient is φ = 900000.

The previous prime is 2250979. The next prime is 2251001. The reversal of 2251000 is 1522.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126 + ... + 2125.

2^2251000 is an apocalyptic number.

2251000 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 2251000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634840).

2251000 is an abundant number, since it is smaller than the sum of its proper divisors (3018680).

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

2251000 is a wasteful number, since it uses less digits than its factorization.

2251000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2258 counting only the distinct ones).

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

The square root of 2251000 is about 1500.3332963045. Note that the first 3 decimals coincide. The cubic root of 2251000 is about 131.0564797344.

Adding to 2251000 its reverse (1522), we get a palindrome (2252522).

It can be divided in two parts, 225 and 1000, that added together give a triangular number (1225 = T₄₉).

The spelling of 2251000 in words is "two million, two hundred fifty-one thousand".