2515216 has 40 divisors (see below), whose sum is σ = 5499648. Its totient is φ = 1104000.

The previous prime is 2515193. The next prime is 2515237. The reversal of 2515216 is 6125152.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 7 ways as a sum of consecutive naturals, for example, 5226 + ... + 5686.

2^2515216 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 2515216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749824).

2515216 is an abundant number, since it is smaller than the sum of its proper divisors (2984432).

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

2515216 is a wasteful number, since it uses less digits than its factorization.

2515216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 505 counting only the distinct ones).

The product of its digits is 600, while the sum is 22.

The square root of 2515216 is about 1585.9432524526. The cubic root of 2515216 is about 135.9956746029.

The spelling of 2515216 in words is "two million, five hundred fifteen thousand, two hundred sixteen".