2956666401001 has 8 divisors (see below), whose sum is σ = 3085254613440. Its totient is φ = 2828081313552.

The previous prime is 2956666400959. The next prime is 2956666401011. The reversal of 2956666401001 is 1001046666592.

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 2956666401001 - 2¹⁷ = 2956666269929 is a prime.

It is a super-2 number, since 2×2956666401001² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2956666401011) 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, 1266390 + ... + 2741728.

It is an arithmetic number, because the mean of its divisors is an integer number (385656826680).

Almost surely, 2^{2956666401001} is an apocalyptic number.

It is an amenable number.

2956666401001 is a deficient number, since it is larger than the sum of its proper divisors (128588212439).

2956666401001 is a wasteful number, since it uses less digits than its factorization.

2956666401001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562495.

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 2956666401001 in words is "two trillion, nine hundred fifty-six billion, six hundred sixty-six million, four hundred one thousand, one".