2125416 has 64 divisors (see below), whose sum is σ = 5760000. Its totient is φ = 651456.

The previous prime is 2125411. The next prime is 2125429. The reversal of 2125416 is 6145212.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 2125392 and 2125401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26865 + ... + 26943.

It is an arithmetic number, because the mean of its divisors is an integer number (90000).

2^2125416 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 2125416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880000).

2125416 is an abundant number, since it is smaller than the sum of its proper divisors (3634584).

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

2125416 is a wasteful number, since it uses less digits than its factorization.

2125416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 162 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 2125416 is about 1457.8806535516. The cubic root of 2125416 is about 128.5724684219.

The spelling of 2125416 in words is "two million, one hundred twenty-five thousand, four hundred sixteen".