2165273009280 has 128 divisors (see below), whose sum is σ = 7668675302400. Its totient is φ = 577406131200.

The previous prime is 2165273009279. The next prime is 2165273009297. The reversal of 2165273009280 is 829003725612.

2165273009280 is a `hidden beast` number, since 2 + 1 + 6 + 527 + 30 + 0 + 92 + 8 + 0 = 666.

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

It is a super-2 number, since 2×2165273009280² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 62635296 + ... + 62669855.

It is an arithmetic number, because the mean of its divisors is an integer number (59911525800).

Almost surely, 2^{2165273009280} is an apocalyptic number.

2165273009280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2165273009280 is an abundant number, since it is smaller than the sum of its proper divisors (5503402293120).

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

2165273009280 is a wasteful number, since it uses less digits than its factorization.

2165273009280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125305179 (or 125305161 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2165273009280 in words is "two trillion, one hundred sixty-five billion, two hundred seventy-three million, nine thousand, two hundred eighty".