2972085289056 has 120 divisors (see below), whose sum is σ = 9413191174464. Its totient is φ = 914487770880.

The previous prime is 2972085289039. The next prime is 2972085289073. The reversal of 2972085289056 is 6509825802792.

2972085289056 is a `hidden beast` number, since 297 + 208 + 5 + 2 + 8 + 90 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (2972085289039) and next prime (2972085289073).

It is a super-2 number, since 2×2972085289056² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2972085288984 and 2972085289002.

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 19 ways as a sum of consecutive naturals, for example, 44067760 + ... + 44135151.

Almost surely, 2^{2972085289056} is an apocalyptic number.

2972085289056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2972085289056 is an abundant number, since it is smaller than the sum of its proper divisors (6441105885408).

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

2972085289056 is a wasteful number, since it uses less digits than its factorization.

2972085289056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88202946 (or 88202929 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 2972085289056 in words is "two trillion, nine hundred seventy-two billion, eighty-five million, two hundred eighty-nine thousand, fifty-six".