280275240960 has 1920 divisors, whose sum is σ = 1258636579200. Its totient is φ = 58604912640.

The previous prime is 280275240919. The next prime is 280275240991. The reversal of 280275240960 is 69042572082.

280275240960 is a `hidden beast` number, since 2 + 80 + 275 + 240 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2016368571 + ... + 2016368709.

It is an arithmetic number, because the mean of its divisors is an integer number (655539885).

Almost surely, 2^280275240960 is an apocalyptic number.

280275240960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 280275240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629318289600).

280275240960 is an abundant number, since it is smaller than the sum of its proper divisors (978361338240).

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

280275240960 is a wasteful number, since it uses less digits than its factorization.

280275240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 280275240960 in words is "two hundred eighty billion, two hundred seventy-five million, two hundred forty thousand, nine hundred sixty".