2199919680 has 672 divisors, whose sum is σ = 9414662400. Its totient is φ = 469647360.

The previous prime is 2199919643. The next prime is 2199919703. The reversal of 2199919680 is 869199912.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16793215 + ... + 16793345.

Almost surely, 2^2199919680 is an apocalyptic number.

2199919680 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 2199919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4707331200).

2199919680 is an abundant number, since it is smaller than the sum of its proper divisors (7214742720).

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

2199919680 is a wasteful number, since it uses less digits than its factorization.

2199919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 54.

The square root of 2199919680 is about 46903.3013763424. The cubic root of 2199919680 is about 1300.5756188550.

The spelling of 2199919680 in words is "two billion, one hundred ninety-nine million, nine hundred nineteen thousand, six hundred eighty".