2668984032 has 384 divisors, whose sum is σ = 8778792960. Its totient is φ = 698480640.

The previous prime is 2668984027. The next prime is 2668984049. The reversal of 2668984032 is 2304898662.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 24943723 + ... + 24943829.

It is an arithmetic number, because the mean of its divisors is an integer number (22861440).

Almost surely, 2^2668984032 is an apocalyptic number.

2668984032 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 2668984032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389396480).

2668984032 is an abundant number, since it is smaller than the sum of its proper divisors (6109808928).

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

2668984032 is a wasteful number, since it uses less digits than its factorization.

2668984032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 2668984032 is about 51662.2108702289. The cubic root of 2668984032 is about 1387.1241252439.

The spelling of 2668984032 in words is "two billion, six hundred sixty-eight million, nine hundred eighty-four thousand, thirty-two".