2471720768 has 112 divisors (see below), whose sum is σ = 5674449408. Its totient is φ = 1057536000.

The previous prime is 2471720761. The next prime is 2471720777. The reversal of 2471720768 is 8670271742.

It is a super-2 number, since 2×2471720768² = 12218807109925019648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2471720761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 805958 + ... + 809018.

Almost surely, 2^2471720768 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 2471720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837224704).

2471720768 is an abundant number, since it is smaller than the sum of its proper divisors (3202728640).

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

2471720768 is a wasteful number, since it uses less digits than its factorization.

2471720768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 44.

The square root of 2471720768 is about 49716.4034097399. The cubic root of 2471720768 is about 1352.0719474334.

The spelling of 2471720768 in words is "two billion, four hundred seventy-one million, seven hundred twenty thousand, seven hundred sixty-eight".