2125824 has 52 divisors (see below), whose sum is σ = 5700936. Its totient is φ = 704512.

The previous prime is 2125819. The next prime is 2125831. The reversal of 2125824 is 4285212.

2125824 = 482² + 483² + ... + 490².

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 = 2125794 and 2125803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12202 + ... + 12374.

2^2125824 is an apocalyptic number.

2125824 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 2125824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850468).

2125824 is an abundant number, since it is smaller than the sum of its proper divisors (3575112).

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

2125824 is an equidigital number, since it uses as much as digits as its factorization.

2125824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 178 counting only the distinct ones).

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

The square root of 2125824 is about 1458.0205759865. The cubic root of 2125824 is about 128.5806949230.

The spelling of 2125824 in words is "two million, one hundred twenty-five thousand, eight hundred twenty-four".