2516736 has 72 divisors (see below), whose sum is σ = 6990480. Its totient is φ = 802816.

The previous prime is 2516713. The next prime is 2516771. The reversal of 2516736 is 6376152.

It is a d-powerful number, because it can be written as 2²¹ + 5⁷ + 1 + 6 + 7⁶ + 3¹¹ + 6⁶ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22216 + ... + 22328.

It is an arithmetic number, because the mean of its divisors is an integer number (97090).

2^2516736 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 2516736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495240).

2516736 is an abundant number, since it is smaller than the sum of its proper divisors (4473744).

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

2516736 is a wasteful number, since it uses less digits than its factorization.

2516736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 2516736 is about 1586.4223901597. The cubic root of 2516736 is about 136.0230641391.

It can be divided in two parts, 25 and 16736, that added together give a palindrome (16761).

The spelling of 2516736 in words is "two million, five hundred sixteen thousand, seven hundred thirty-six".