2461516272 has 120 divisors (see below), whose sum is σ = 7272022160. Its totient is φ = 775111680.

The previous prime is 2461516271. The next prime is 2461516307. The reversal of 2461516272 is 2726151642.

It is a happy number.

2461516272 is a `hidden beast` number, since 2 + 4 + 615 + 16 + 27 + 2 = 666.

2461516272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2461516271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1150788 + ... + 1152924.

Almost surely, 2^2461516272 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 2461516272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636011080).

2461516272 is an abundant number, since it is smaller than the sum of its proper divisors (4810505888).

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

2461516272 is a wasteful number, since it uses less digits than its factorization.

2461516272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591 (or 2582 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2461516272 is about 49613.6702129564. The cubic root of 2461516272 is about 1350.2087051818.

The spelling of 2461516272 in words is "two billion, four hundred sixty-one million, five hundred sixteen thousand, two hundred seventy-two".