2996034200064 has 480 divisors, whose sum is σ = 9187090488576. Its totient is φ = 974306672640.

The previous prime is 2996034200057. The next prime is 2996034200099. The reversal of 2996034200064 is 4600024306992.

It is a super-3 number, since 3×2996034200064³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2996034199992 and 2996034200019.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2461818784 + ... + 2461820000.

Almost surely, 2^{2996034200064} is an apocalyptic number.

2996034200064 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 2996034200064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4593545244288).

2996034200064 is an abundant number, since it is smaller than the sum of its proper divisors (6191056288512).

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

2996034200064 is an equidigital number, since it uses as much as digits as its factorization.

2996034200064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 2996034200064 in words is "two trillion, nine hundred ninety-six billion, thirty-four million, two hundred thousand, sixty-four".