2993684260320 has 288 divisors, whose sum is σ = 11006713317600. Its totient is φ = 736577114112.

The previous prime is 2993684260309. The next prime is 2993684260327. The reversal of 2993684260320 is 230624863992.

2993684260320 is a `hidden beast` number, since 2 + 9 + 9 + 3 + 6 + 8 + 4 + 2 + 603 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2993684260327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43189851 + ... + 43259109.

It is an arithmetic number, because the mean of its divisors is an integer number (38217754575).

Almost surely, 2^{2993684260320} is an apocalyptic number.

2993684260320 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 2993684260320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503356658800).

2993684260320 is an abundant number, since it is smaller than the sum of its proper divisors (8013029057280).

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

2993684260320 is a wasteful number, since it uses less digits than its factorization.

2993684260320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71602 (or 71591 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 2993684260320 in words is "two trillion, nine hundred ninety-three billion, six hundred eighty-four million, two hundred sixty thousand, three hundred twenty".