2057616 has 80 divisors (see below), whose sum is σ = 6457920. Its totient is φ = 622080.

The previous prime is 2057611. The next prime is 2057633. The reversal of 2057616 is 6167502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2057616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4536 + ... + 4968.

It is an arithmetic number, because the mean of its divisors is an integer number (80724).

2^2057616 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 2057616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228960).

2057616 is an abundant number, since it is smaller than the sum of its proper divisors (4400304).

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

2057616 is a wasteful number, since it uses less digits than its factorization.

2057616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2057616 is about 1434.4392632663. The cubic root of 2057616 is about 127.1905297328.

The spelling of 2057616 in words is "two million, fifty-seven thousand, six hundred sixteen".