2512016 has 30 divisors (see below), whose sum is σ = 5275890. Its totient is φ = 1158144.

The previous prime is 2512007. The next prime is 2512019. The reversal of 2512016 is 6102152.

It can be written as a sum of positive squares in 3 ways, for example, as 250000 + 2262016 = 500^2 + 1504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2511985 and 2512003.

It is not an unprimeable number, because it can be changed into a prime (2512019) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2240 + ... + 3168.

It is an arithmetic number, because the mean of its divisors is an integer number (175863).

2^2512016 is an apocalyptic number.

2512016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2512016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637945).

2512016 is an abundant number, since it is smaller than the sum of its proper divisors (2763874).

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

2512016 is a wasteful number, since it uses less digits than its factorization.

2512016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 2512016 is about 1584.9340680293. The cubic root of 2512016 is about 135.9379763316.

Adding to 2512016 its reverse (6102152), we get a palindrome (8614168).

The spelling of 2512016 in words is "two million, five hundred twelve thousand, sixteen".