2502016 has 32 divisors (see below), whose sum is σ = 5440680. Its totient is φ = 1136640.

The previous prime is 2502011. The next prime is 2502047. The reversal of 2502016 is 6102052.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2502011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 520 + ... + 2296.

2^2502016 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 2502016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2720340).

2502016 is an abundant number, since it is smaller than the sum of its proper divisors (2938664).

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

2502016 is a wasteful number, since it uses less digits than its factorization.

2502016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2502016 is about 1581.7762167892. The cubic root of 2502016 is about 135.7573528006.

Adding to 2502016 its reverse (6102052), we get a palindrome (8604068).

The spelling of 2502016 in words is "two million, five hundred two thousand, sixteen".