2952801905345 has 16 divisors (see below), whose sum is σ = 3568079168640. Its totient is φ = 2345791375104.

The previous prime is 2952801905321. The next prime is 2952801905363. The reversal of 2952801905345 is 5435091082592.

It is a cyclic number.

It is not a de Polignac number, because 2952801905345 - 2¹⁴ = 2952801888961 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 884312 + ... + 2586041.

It is an arithmetic number, because the mean of its divisors is an integer number (223004948040).

Almost surely, 2^{2952801905345} is an apocalyptic number.

It is an amenable number.

2952801905345 is a deficient number, since it is larger than the sum of its proper divisors (615277263295).

2952801905345 is a wasteful number, since it uses less digits than its factorization.

2952801905345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3471544.

The product of its (nonzero) digits is 3888000, while the sum is 53.

The spelling of 2952801905345 in words is "two trillion, nine hundred fifty-two billion, eight hundred one million, nine hundred five thousand, three hundred forty-five".