2993100096 has 336 divisors, whose sum is σ = 9909657600. Its totient is φ = 780088320.

The previous prime is 2993100091. The next prime is 2993100139. The reversal of 2993100096 is 6900013992.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2993100091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15040605 + ... + 15040803.

Almost surely, 2^2993100096 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 2993100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4954828800).

2993100096 is an abundant number, since it is smaller than the sum of its proper divisors (6916557504).

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

2993100096 is a wasteful number, since it uses less digits than its factorization.

2993100096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 2993100096 is about 54709.2322739042. The cubic root of 2993100096 is about 1441.1430122374.

The spelling of 2993100096 in words is "two billion, nine hundred ninety-three million, one hundred thousand, ninety-six".