282251270601240 has 384 divisors, whose sum is σ = 902175197659200. Its totient is φ = 70628461772800.

The previous prime is 282251270601163. The next prime is 282251270601247. The reversal of 282251270601240 is 42106072152282.

It is a super-2 number, since 2×282251270601240² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 282251270601192 and 282251270601201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282251270601247) 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, 40454528632 + ... + 40454535608.

Almost surely, 2^{282251270601240} is an apocalyptic number.

282251270601240 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 282251270601240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451087598829600).

282251270601240 is an abundant number, since it is smaller than the sum of its proper divisors (619923927057960).

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

282251270601240 is a wasteful number, since it uses less digits than its factorization.

282251270601240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10335 (or 10314 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 282251270601240 in words is "two hundred eighty-two trillion, two hundred fifty-one billion, two hundred seventy million, six hundred one thousand, two hundred forty".