2982829518 has 48 divisors (see below), whose sum is σ = 6649437600. Its totient is φ = 965659968.

The previous prime is 2982829511. The next prime is 2982829519. The reversal of 2982829518 is 8159282892.

It is a happy number.

2982829518 is a `hidden beast` number, since 29 + 82 + 8 + 29 + 518 = 666.

It is a super-2 number, since 2×2982829518² = 17794543866904224648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2982829511) 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, 395196 + ... + 402672.

It is an arithmetic number, because the mean of its divisors is an integer number (138529950).

Almost surely, 2^2982829518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2982829518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324718800).

2982829518 is an abundant number, since it is smaller than the sum of its proper divisors (3666608082).

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

2982829518 is a wasteful number, since it uses less digits than its factorization.

2982829518 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8121 (or 8118 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The square root of 2982829518 is about 54615.2864864774. The cubic root of 2982829518 is about 1439.4927351013.

The spelling of 2982829518 in words is "two billion, nine hundred eighty-two million, eight hundred twenty-nine thousand, five hundred eighteen".