280233691920 has 480 divisors, whose sum is σ = 1219267795200. Its totient is φ = 56014073856.

The previous prime is 280233691891. The next prime is 280233691943. The reversal of 280233691920 is 29196332082.

It is a happy number.

280233691920 is a `hidden beast` number, since 2 + 80 + 23 + 369 + 192 + 0 = 666.

It is a super-2 number, since 2×280233691920² (a number of 24 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 95 ways as a sum of consecutive naturals, for example, 1132326 + ... + 1357434.

It is an arithmetic number, because the mean of its divisors is an integer number (2540141240).

Almost surely, 2^280233691920 is an apocalyptic number.

280233691920 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 280233691920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609633897600).

280233691920 is an abundant number, since it is smaller than the sum of its proper divisors (939034103280).

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

280233691920 is a wasteful number, since it uses less digits than its factorization.

280233691920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225167 (or 225158 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 280233691920 in words is "two hundred eighty billion, two hundred thirty-three million, six hundred ninety-one thousand, nine hundred twenty".