2116344560 has 80 divisors (see below), whose sum is σ = 5498835552. Its totient is φ = 750796800.

The previous prime is 2116344539. The next prime is 2116344589. The reversal of 2116344560 is 654436112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×2116344560⁴ (a number of 38 digits) contains 4444 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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6752 + ... + 65408.

Almost surely, 2^2116344560 is an apocalyptic number.

2116344560 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 2116344560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749417776).

2116344560 is an abundant number, since it is smaller than the sum of its proper divisors (3382490992).

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

2116344560 is a wasteful number, since it uses less digits than its factorization.

2116344560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58722 (or 58716 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2116344560 is about 46003.7450649401. The cubic root of 2116344560 is about 1283.8928848316.

The spelling of 2116344560 in words is "two billion, one hundred sixteen million, three hundred forty-four thousand, five hundred sixty".