280649041920 has 768 divisors, whose sum is σ = 1085435769600. Its totient is φ = 68372398080.

The previous prime is 280649041913. The next prime is 280649041921. The reversal of 280649041920 is 29140946082.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×280649041920² (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 not an unprimeable number, because it can be changed into a prime (280649041921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 406148775 + ... + 406149465.

It is an arithmetic number, because the mean of its divisors is an integer number (1413327825).

Almost surely, 2^280649041920 is an apocalyptic number.

280649041920 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 280649041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542717884800).

280649041920 is an abundant number, since it is smaller than the sum of its proper divisors (804786727680).

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

280649041920 is a wasteful number, since it uses less digits than its factorization.

280649041920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 280649041920 in words is "two hundred eighty billion, six hundred forty-nine million, forty-one thousand, nine hundred twenty".