2166738560 has 128 divisors (see below), whose sum is σ = 5944233600. Its totient is φ = 739823616.

The previous prime is 2166738547. The next prime is 2166738577. The reversal of 2166738560 is 658376612.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 1266986 + ... + 1268694.

It is an arithmetic number, because the mean of its divisors is an integer number (46439325).

Almost surely, 2^2166738560 is an apocalyptic number.

2166738560 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 2166738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972116800).

2166738560 is an abundant number, since it is smaller than the sum of its proper divisors (3777495040).

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

2166738560 is a wasteful number, since it uses less digits than its factorization.

2166738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 2166738560 is about 46548.2390644372. The cubic root of 2166738560 is about 1294.0036581368.

The spelling of 2166738560 in words is "two billion, one hundred sixty-six million, seven hundred thirty-eight thousand, five hundred sixty".