2251610316560 has 1280 divisors, whose sum is σ = 6837998911488. Its totient is φ = 678975897600.

The previous prime is 2251610316517. The next prime is 2251610316619. The reversal of 2251610316560 is 656130161522.

2251610316560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 31712821325 + ... + 31712821395.

Almost surely, 2^{2251610316560} is an apocalyptic number.

2251610316560 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 2251610316560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418999455744).

2251610316560 is an abundant number, since it is smaller than the sum of its proper divisors (4586388594928).

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

2251610316560 is a wasteful number, since it uses less digits than its factorization.

2251610316560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The spelling of 2251610316560 in words is "two trillion, two hundred fifty-one billion, six hundred ten million, three hundred sixteen thousand, five hundred sixty".