282400130880 has 672 divisors, whose sum is σ = 1163903330304. Its totient is φ = 61447237632.

The previous prime is 282400130849. The next prime is 282400130899. The reversal of 282400130880 is 88031004282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×282400130880² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 105254019 + ... + 105256701.

Almost surely, 2^282400130880 is an apocalyptic number.

282400130880 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 282400130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581951665152).

282400130880 is an abundant number, since it is smaller than the sum of its proper divisors (881503199424).

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

282400130880 is a wasteful number, since it uses less digits than its factorization.

282400130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2963 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 282400130880 in words is "two hundred eighty-two billion, four hundred million, one hundred thirty thousand, eight hundred eighty".