2781956915201 has 16 divisors (see below), whose sum is σ = 3001828097664. Its totient is φ = 2571827516544.

The previous prime is 2781956915197. The next prime is 2781956915233. The reversal of 2781956915201 is 1025196591872.

It is a cyclic number.

It is not a de Polignac number, because 2781956915201 - 2² = 2781956915197 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2781956912201) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16949396 + ... + 17112741.

It is an arithmetic number, because the mean of its divisors is an integer number (187614256104).

Almost surely, 2^{2781956915201} is an apocalyptic number.

It is an amenable number.

2781956915201 is a deficient number, since it is larger than the sum of its proper divisors (219871182463).

2781956915201 is a wasteful number, since it uses less digits than its factorization.

2781956915201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34062280.

The product of its (nonzero) digits is 2721600, while the sum is 56.

The spelling of 2781956915201 in words is "two trillion, seven hundred eighty-one billion, nine hundred fifty-six million, nine hundred fifteen thousand, two hundred one".