2241007560 has 320 divisors, whose sum is σ = 8283021120. Its totient is φ = 538928640.

The previous prime is 2241007543. The next prime is 2241007597. The reversal of 2241007560 is 657001422.

It is a super-2 number, since 2×2241007560² = 10044229767954307200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8090142 + ... + 8090418.

It is an arithmetic number, because the mean of its divisors is an integer number (25884441).

Almost surely, 2^2241007560 is an apocalyptic number.

2241007560 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 2241007560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141510560).

2241007560 is an abundant number, since it is smaller than the sum of its proper divisors (6042013560).

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

2241007560 is a wasteful number, since it uses less digits than its factorization.

2241007560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2241007560 is about 47339.2813633667. The cubic root of 2241007560 is about 1308.6226729767.

Adding to 2241007560 its reverse (657001422), we get a palindrome (2898008982).

The spelling of 2241007560 in words is "two billion, two hundred forty-one million, seven thousand, five hundred sixty".