2471616 has 84 divisors (see below), whose sum is σ = 8109712. Its totient is φ = 705024.

The previous prime is 2471611. The next prime is 2471621. The reversal of 2471616 is 6161742.

2471616 is a `hidden beast` number, since 2 + 47 + 1 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (2471611) and next prime (2471621).

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×2471616² = 12217771302912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 2471616.

It is not an unprimeable number, because it can be changed into a prime (2471611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3726 + ... + 4338.

2^2471616 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 2471616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054856).

2471616 is an abundant number, since it is smaller than the sum of its proper divisors (5638096).

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

2471616 is a wasteful number, since it uses less digits than its factorization.

2471616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 625 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 2471616 is about 1572.1373985756. The cubic root of 2471616 is about 135.2052843890.

The spelling of 2471616 in words is "two million, four hundred seventy-one thousand, six hundred sixteen".