2057216 has 66 divisors (see below), whose sum is σ = 4900518. Its totient is φ = 860160.

The previous prime is 2057203. The next prime is 2057227. The reversal of 2057216 is 6127502.

It can be written as a sum of positive squares in only one way, i.e., 1254400 + 802816 = 1120^2 + 896^2 .

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 2057191 and 2057200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50156 + ... + 50196.

2^2057216 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 2057216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450259).

2057216 is an abundant number, since it is smaller than the sum of its proper divisors (2843302).

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

2057216 is an equidigital number, since it uses as much as digits as its factorization.

2057216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 2057216 is about 1434.2998291850. The cubic root of 2057216 is about 127.1822872637.

The spelling of 2057216 in words is "two million, fifty-seven thousand, two hundred sixteen".