2993142672 has 320 divisors, whose sum is σ = 9921864960. Its totient is φ = 855760896.

The previous prime is 2993142653. The next prime is 2993142679. The reversal of 2993142672 is 2762413992.

It is not an unprimeable number, because it can be changed into a prime (2993142679) 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 63 ways as a sum of consecutive naturals, for example, 10215358 + ... + 10215650.

It is an arithmetic number, because the mean of its divisors is an integer number (31005828).

Almost surely, 2^2993142672 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 2993142672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960932480).

2993142672 is an abundant number, since it is smaller than the sum of its proper divisors (6928722288).

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

2993142672 is a wasteful number, since it uses less digits than its factorization.

2993142672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 435 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 2993142672 is about 54709.6213841770. The cubic root of 2993142672 is about 1441.1498454885.

The spelling of 2993142672 in words is "two billion, nine hundred ninety-three million, one hundred forty-two thousand, six hundred seventy-two".