10280585742 has 32 divisors (see below), whose sum is σ = 23502327552. Its totient is φ = 2936829504.

The previous prime is 10280585741. The next prime is 10280585857. The reversal of 10280585742 is 24758508201.

It is a super-2 number, since 2×10280585742² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10280585694 and 10280585703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10280585741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299698 + ... + 332234.

It is an arithmetic number, because the mean of its divisors is an integer number (734447736).

Almost surely, 2^10280585742 is an apocalyptic number.

10280585742 is an abundant number, since it is smaller than the sum of its proper divisors (13221741810).

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

10280585742 is a wasteful number, since it uses less digits than its factorization.

10280585742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40072.

The product of its (nonzero) digits is 179200, while the sum is 42.

The spelling of 10280585742 in words is "ten billion, two hundred eighty million, five hundred eighty-five thousand, seven hundred forty-two".