2471991960 has 128 divisors (see below), whose sum is σ = 7828819200. Its totient is φ = 622702080.

The previous prime is 2471991959. The next prime is 2471991989. The reversal of 2471991960 is 691991742.

2471991960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2471991960² = 12221488500609283200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 903795 + ... + 906525.

It is an arithmetic number, because the mean of its divisors is an integer number (61162650).

Almost surely, 2^2471991960 is an apocalyptic number.

2471991960 is a gapful number since it is divisible by the number (20) 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 2471991960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914409600).

2471991960 is an abundant number, since it is smaller than the sum of its proper divisors (5356827240).

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

2471991960 is a wasteful number, since it uses less digits than its factorization.

2471991960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 2471991960 is about 49719.1307245008. The cubic root of 2471991960 is about 1352.1213944544.

The spelling of 2471991960 in words is "two billion, four hundred seventy-one million, nine hundred ninety-one thousand, nine hundred sixty".