2251824 has 40 divisors (see below), whose sum is σ = 5957952. Its totient is φ = 732480.

The previous prime is 2251819. The next prime is 2251829. The reversal of 2251824 is 4281522.

It is an interprime number because it is at equal distance from previous prime (2251819) and next prime (2251829).

It is a super-2 number, since 2×2251824² = 10141422653952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2251794 and 2251803.

It is not an unprimeable number, because it can be changed into a prime (2251829) 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, 1519 + ... + 2609.

2^2251824 is an apocalyptic number.

2251824 is a gapful number since it is divisible by the number (24) 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 2251824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978976).

2251824 is an abundant number, since it is smaller than the sum of its proper divisors (3706128).

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

2251824 is a wasteful number, since it uses less digits than its factorization.

2251824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1139 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 2251824 is about 1500.6078768286. The cubic root of 2251824 is about 131.0724692746.

The spelling of 2251824 in words is "two million, two hundred fifty-one thousand, eight hundred twenty-four".