2471600768 has 96 divisors (see below), whose sum is σ = 6168595860. Its totient is φ = 977743872.

The previous prime is 2471600759. The next prime is 2471600771. The reversal of 2471600768 is 8670061742.

It can be written as a sum of positive squares in 2 ways, for example, as 2467307584 + 4293184 = 49672^2 + 2072^2 .

It is a super-2 number, since 2×2471600768² = 12217620712756379648, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66380 + ... + 96692.

Almost surely, 2^2471600768 is an apocalyptic number.

2471600768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2471600768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084297930).

2471600768 is an abundant number, since it is smaller than the sum of its proper divisors (3696995092).

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

2471600768 is a wasteful number, since it uses less digits than its factorization.

2471600768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30354 (or 30335 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 2471600768 is about 49715.1965499484. The cubic root of 2471600768 is about 1352.0500664209.

The spelling of 2471600768 in words is "two billion, four hundred seventy-one million, six hundred thousand, seven hundred sixty-eight".