2986128992 has 108 divisors (see below), whose sum is σ = 7517471220. Its totient is φ = 1163352960.

The previous prime is 2986128991. The next prime is 2986128997. The reversal of 2986128992 is 2998216892.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2986128991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 181859 + ... + 197597.

It is an arithmetic number, because the mean of its divisors is an integer number (69606215).

Almost surely, 2^2986128992 is an apocalyptic number.

2986128992 is a gapful number since it is divisible by the number (22) 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 2986128992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758735610).

2986128992 is an abundant number, since it is smaller than the sum of its proper divisors (4531342228).

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

2986128992 is a wasteful number, since it uses less digits than its factorization.

2986128992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15785 (or 15759 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 56.

The square root of 2986128992 is about 54645.4846442046. The cubic root of 2986128992 is about 1440.0233072359.

The spelling of 2986128992 in words is "two billion, nine hundred eighty-six million, one hundred twenty-eight thousand, nine hundred ninety-two".