2191980672 has 192 divisors, whose sum is σ = 7246324800. Its totient is φ = 623020032.

The previous prime is 2191980671. The next prime is 2191980673. The reversal of 2191980672 is 2760891912.

It is an interprime number because it is at equal distance from previous prime (2191980671) and next prime (2191980673).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (2191980671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1846063 + ... + 1847249.

It is an arithmetic number, because the mean of its divisors is an integer number (37741275).

Almost surely, 2^2191980672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2191980672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623162400).

2191980672 is an abundant number, since it is smaller than the sum of its proper divisors (5054344128).

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

2191980672 is a wasteful number, since it uses less digits than its factorization.

2191980672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 2191980672 is about 46818.5932296134. The cubic root of 2191980672 is about 1299.0092395875.

It can be divided in two parts, 219 and 1980672, that added together give a palindrome (1980891).

The spelling of 2191980672 in words is "two billion, one hundred ninety-one million, nine hundred eighty thousand, six hundred seventy-two".