2993934299040 has 1008 divisors, whose sum is σ = 11469366574848. Its totient is φ = 736781101056.

The previous prime is 2993934299003. The next prime is 2993934299047. The reversal of 2993934299040 is 409924393992.

2993934299040 is a `hidden beast` number, since 2 + 99 + 39 + 3 + 429 + 90 + 4 + 0 = 666.

2993934299040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2993934299040² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2993934299047) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2256166857 + ... + 2256168183.

It is an arithmetic number, because the mean of its divisors is an integer number (11378339856).

Almost surely, 2^{2993934299040} is an apocalyptic number.

2993934299040 is a gapful number since it is divisible by the number (20) 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 2993934299040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5734683287424).

2993934299040 is an abundant number, since it is smaller than the sum of its proper divisors (8475432275808).

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

2993934299040 is a wasteful number, since it uses less digits than its factorization.

2993934299040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 63.

The spelling of 2993934299040 in words is "two trillion, nine hundred ninety-three billion, nine hundred thirty-four million, two hundred ninety-nine thousand, forty".