2517312 has 56 divisors (see below), whose sum is σ = 7615936. Its totient is φ = 718848.

The previous prime is 2517311. The next prime is 2517379. The reversal of 2517312 is 2137152.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2517311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408 + ... + 2280.

2^2517312 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 2517312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807968).

2517312 is an abundant number, since it is smaller than the sum of its proper divisors (5098624).

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

2517312 is a wasteful number, since it uses less digits than its factorization.

2517312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895 (or 1885 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 2517312 is about 1586.6039203279. The cubic root of 2517312 is about 136.0334404504.

The spelling of 2517312 in words is "two million, five hundred seventeen thousand, three hundred twelve".