2468682072 has 96 divisors (see below), whose sum is σ = 6978441600. Its totient is φ = 787411968.

The previous prime is 2468682053. The next prime is 2468682077. The reversal of 2468682072 is 2702868642.

It is a super-2 number, since 2×2468682072² = 12188782345228426368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2468682077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230713 + ... + 241175.

It is an arithmetic number, because the mean of its divisors is an integer number (72692100).

Almost surely, 2^2468682072 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 2468682072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489220800).

2468682072 is an abundant number, since it is smaller than the sum of its proper divisors (4509759528).

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

2468682072 is a wasteful number, since it uses less digits than its factorization.

2468682072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10617 (or 10610 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2468682072 is about 49685.8337154566. The cubic root of 2468682072 is about 1351.5176479781.

The spelling of 2468682072 in words is "two billion, four hundred sixty-eight million, six hundred eighty-two thousand, seventy-two".