2502816 has 72 divisors (see below), whose sum is σ = 7023744. Its totient is φ = 779520.

The previous prime is 2502809. The next prime is 2502827. The reversal of 2502816 is 6182052.

2502816 = 269² + 270² + ... + 299².

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80721 + ... + 80751.

It is an arithmetic number, because the mean of its divisors is an integer number (97552).

2^2502816 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 2502816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511872).

2502816 is an abundant number, since it is smaller than the sum of its proper divisors (4520928).

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

2502816 is a wasteful number, since it uses less digits than its factorization.

2502816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2502816 is about 1582.0290768504. The cubic root of 2502816 is about 135.7718203752.

Adding to 2502816 its reverse (6182052), we get a palindrome (8684868).

The spelling of 2502816 in words is "two million, five hundred two thousand, eight hundred sixteen".