2973086835264 has 1568 divisors, whose sum is σ = 11492218214400. Its totient is φ = 757170892800.

The previous prime is 2973086835239. The next prime is 2973086835307. The reversal of 2973086835264 is 4625386803792.

It is a happy number.

2973086835264 is a `hidden beast` number, since 2 + 9 + 7 + 308 + 68 + 3 + 5 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (1568).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 223 ways as a sum of consecutive naturals, for example, 6449211994 + ... + 6449212454.

It is an arithmetic number, because the mean of its divisors is an integer number (7329220800).

Almost surely, 2^{2973086835264} is an apocalyptic number.

2973086835264 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 2973086835264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5746109107200).

2973086835264 is an abundant number, since it is smaller than the sum of its proper divisors (8519131379136).

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

2973086835264 is an equidigital number, since it uses as much as digits as its factorization.

2973086835264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 2973086835264 in words is "two trillion, nine hundred seventy-three billion, eighty-six million, eight hundred thirty-five thousand, two hundred sixty-four".