2993766048 has 576 divisors, whose sum is σ = 11289196800. Its totient is φ = 754790400.

The previous prime is 2993766037. The next prime is 2993766053. The reversal of 2993766048 is 8406673992.

It is a happy number.

2993766048 is a `hidden beast` number, since 29 + 9 + 3 + 7 + 6 + 604 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2993765985 and 2993766003.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29641198 + ... + 29641298.

It is an arithmetic number, because the mean of its divisors is an integer number (19599300).

Almost surely, 2^2993766048 is an apocalyptic number.

2993766048 is a gapful number since it is divisible by the number (28) 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 2993766048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5644598400).

2993766048 is an abundant number, since it is smaller than the sum of its proper divisors (8295430752).

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

2993766048 is a wasteful number, since it uses less digits than its factorization.

2993766048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 2993766048 is about 54715.3182207689. The cubic root of 2993766048 is about 1441.2498870350.

The spelling of 2993766048 in words is "two billion, nine hundred ninety-three million, seven hundred sixty-six thousand, forty-eight".