2782159488 has 192 divisors, whose sum is σ = 8665675200. Its totient is φ = 886837248.

The previous prime is 2782159483. The next prime is 2782159517. The reversal of 2782159488 is 8849512872.

2782159488 is a `hidden beast` number, since 2 + 7 + 8 + 2 + 159 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2782159488² = 15480822833336844288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2782159481) 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, 713448 + ... + 717336.

It is an arithmetic number, because the mean of its divisors is an integer number (45133725).

Almost surely, 2^2782159488 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 2782159488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4332837600).

2782159488 is an abundant number, since it is smaller than the sum of its proper divisors (5883515712).

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

2782159488 is an equidigital number, since it uses as much as digits as its factorization.

2782159488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3941 (or 3917 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The square root of 2782159488 is about 52746.1798427147. The cubic root of 2782159488 is about 1406.4598560414.

The spelling of 2782159488 in words is "two billion, seven hundred eighty-two million, one hundred fifty-nine thousand, four hundred eighty-eight".