2165312440704 has 128 divisors (see below), whose sum is σ = 6573980033280. Its totient is φ = 618593863680.

The previous prime is 2165312440693. The next prime is 2165312440721. The reversal of 2165312440704 is 4070442135612.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 28269082 + ... + 28345574.

It is an arithmetic number, because the mean of its divisors is an integer number (51359219010).

Almost surely, 2^{2165312440704} is an apocalyptic number.

2165312440704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2165312440704 is an abundant number, since it is smaller than the sum of its proper divisors (4408667592576).

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

2165312440704 is a wasteful number, since it uses less digits than its factorization.

2165312440704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87048 (or 87036 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 2165312440704 in words is "two trillion, one hundred sixty-five billion, three hundred twelve million, four hundred forty thousand, seven hundred four".