2502007816 has 96 divisors (see below), whose sum is σ = 5974685280. Its totient is φ = 971308800.

The previous prime is 2502007813. The next prime is 2502007817. The reversal of 2502007816 is 6187002052.

It is a super-2 number, since 2×2502007816² = 12520086222650179712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2502007813) 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 23 ways as a sum of consecutive naturals, for example, 1426396 + ... + 1428148.

It is an arithmetic number, because the mean of its divisors is an integer number (62236305).

Almost surely, 2^2502007816 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 2502007816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987342640).

2502007816 is an abundant number, since it is smaller than the sum of its proper divisors (3472677464).

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

2502007816 is a wasteful number, since it uses less digits than its factorization.

2502007816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 2502007816 is about 50020.0741302929. The cubic root of 2502007816 is about 1357.5720478138.

Adding to 2502007816 its reverse (6187002052), we get a palindrome (8689009868).

The spelling of 2502007816 in words is "two billion, five hundred two million, seven thousand, eight hundred sixteen".