2937329256961 has 8 divisors (see below), whose sum is σ = 3204374026464. Its totient is φ = 2670286960320.

The previous prime is 2937329256899. The next prime is 2937329257001. The reversal of 2937329256961 is 1696529237392.

2937329256961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2937329256961 - 2⁷ = 2937329256833 is a prime.

It is a super-3 number, since 3×2937329256961³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2937329256893 and 2937329256902.

It is not an unprimeable number, because it can be changed into a prime (2937329256061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2588761 + ... + 3546313.

It is an arithmetic number, because the mean of its divisors is an integer number (400546753308).

Almost surely, 2^{2937329256961} is an apocalyptic number.

It is an amenable number.

2937329256961 is a deficient number, since it is larger than the sum of its proper divisors (267044769503).

2937329256961 is a wasteful number, since it uses less digits than its factorization.

2937329256961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236431.

The product of its digits is 66134880, while the sum is 64.

The spelling of 2937329256961 in words is "two trillion, nine hundred thirty-seven billion, three hundred twenty-nine million, two hundred fifty-six thousand, nine hundred sixty-one".