2231516560 has 480 divisors, whose sum is σ = 7254178560. Its totient is φ = 621084672.

The previous prime is 2231516477. The next prime is 2231516597. The reversal of 2231516560 is 656151322.

It is a super-3 number, since 3×2231516560³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30568684 + ... + 30568756.

It is an arithmetic number, because the mean of its divisors is an integer number (15112872).

Almost surely, 2^2231516560 is an apocalyptic number.

2231516560 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 2231516560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3627089280).

2231516560 is an abundant number, since it is smaller than the sum of its proper divisors (5022662000).

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

2231516560 is a wasteful number, since it uses less digits than its factorization.

2231516560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 2231516560 is about 47238.9305552105. The cubic root of 2231516560 is about 1306.7726549919.

Adding to 2231516560 its reverse (656151322), we get a palindrome (2887667882).

The spelling of 2231516560 in words is "two billion, two hundred thirty-one million, five hundred sixteen thousand, five hundred sixty".