10226560240 has 160 divisors (see below), whose sum is σ = 27149262336. Its totient is φ = 3554979840.

The previous prime is 10226560237. The next prime is 10226560249. The reversal of 10226560240 is 4206562201.

It is a junction number, because it is equal to n+sod(n) for n = 10226560199 and 10226560208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10226560249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1188594 + ... + 1197166.

Almost surely, 2^10226560240 is an apocalyptic number.

10226560240 is a gapful number since it is divisible by the number (10) 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 10226560240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13574631168).

10226560240 is an abundant number, since it is smaller than the sum of its proper divisors (16922702096).

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

10226560240 is a wasteful number, since it uses less digits than its factorization.

10226560240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8667 (or 8661 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 10226560240 in words is "ten billion, two hundred twenty-six million, five hundred sixty thousand, two hundred forty".