281930480640 has 1056 divisors, whose sum is σ = 1085125901184. Its totient is φ = 67381493760.

The previous prime is 281930480617. The next prime is 281930480641. The reversal of 281930480640 is 46084039182.

It is a happy number.

281930480640 is a `hidden beast` number, since 2 + 81 + 9 + 30 + 480 + 64 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281930480641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2057886652 + ... + 2057886788.

Almost surely, 2^281930480640 is an apocalyptic number.

281930480640 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 281930480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542562950592).

281930480640 is an abundant number, since it is smaller than the sum of its proper divisors (803195420544).

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

281930480640 is a wasteful number, since it uses less digits than its factorization.

281930480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 281930480640 in words is "two hundred eighty-one billion, nine hundred thirty million, four hundred eighty thousand, six hundred forty".