2993253984 has 288 divisors, whose sum is σ = 10041595200. Its totient is φ = 845365248.

The previous prime is 2993253979. The next prime is 2993254027. The reversal of 2993253984 is 4893523992.

2993253984 is a `hidden beast` number, since 29 + 9 + 3 + 2 + 539 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 2993253984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15508992 + ... + 15509184.

It is an arithmetic number, because the mean of its divisors is an integer number (34866650).

Almost surely, 2^2993253984 is an apocalyptic number.

2993253984 is a gapful number since it is divisible by the number (24) 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 2993253984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020797600).

2993253984 is an abundant number, since it is smaller than the sum of its proper divisors (7048341216).

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

2993253984 is a wasteful number, since it uses less digits than its factorization.

2993253984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 362 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 2993253984 is about 54710.6386729309. The cubic root of 2993253984 is about 1441.1677102437.

The spelling of 2993253984 in words is "two billion, nine hundred ninety-three million, two hundred fifty-three thousand, nine hundred eighty-four".