2972803059072 has 384 divisors, whose sum is σ = 10669148755200. Its totient is φ = 771886264320.

The previous prime is 2972803059059. The next prime is 2972803059097. The reversal of 2972803059072 is 2709503082792.

2972803059072 is a `hidden beast` number, since 29 + 7 + 28 + 0 + 3 + 0 + 590 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2972803059072² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435444523 + ... + 435451349.

It is an arithmetic number, because the mean of its divisors is an integer number (27784241550).

Almost surely, 2^{2972803059072} is an apocalyptic number.

2972803059072 is a gapful number since it is divisible by the number (22) 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 2972803059072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334574377600).

2972803059072 is an abundant number, since it is smaller than the sum of its proper divisors (7696345696128).

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

2972803059072 is a wasteful number, since it uses less digits than its factorization.

2972803059072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11774 (or 11759 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 2972803059072 in words is "two trillion, nine hundred seventy-two billion, eight hundred three million, fifty-nine thousand, seventy-two".