2210642560 has 64 divisors (see below), whose sum is σ = 6039803520. Its totient is φ = 757933056.

The previous prime is 2210642521. The next prime is 2210642563. The reversal of 2210642560 is 652460122.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2210642563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242244 + ... + 251203.

It is an arithmetic number, because the mean of its divisors is an integer number (94371930).

Almost surely, 2^2210642560 is an apocalyptic number.

2210642560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210642560 is an abundant number, since it is smaller than the sum of its proper divisors (3829160960).

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

2210642560 is an equidigital number, since it uses as much as digits as its factorization.

2210642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493473 (or 493461 counting only the distinct ones).

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

The square root of 2210642560 is about 47017.4707954394. The cubic root of 2210642560 is about 1302.6852896633.

The spelling of 2210642560 in words is "two billion, two hundred ten million, six hundred forty-two thousand, five hundred sixty".