2193986880 has 336 divisors, whose sum is σ = 7910931600. Its totient is φ = 557383680.

The previous prime is 2193986857. The next prime is 2193986903. The reversal of 2193986880 is 886893912.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2193986857) and next prime (2193986903).

It can be written as a sum of positive squares in 8 ways, for example, as 66194496 + 2127792384 = 8136^2 + 46128^2 .

It is a super-2 number, since 2×2193986880² = 9627156859224268800, which contains 22 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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9103560 + ... + 9103800.

Almost surely, 2^2193986880 is an apocalyptic number.

2193986880 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 2193986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955465800).

2193986880 is an abundant number, since it is smaller than the sum of its proper divisors (5716944720).

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

2193986880 is a wasteful number, since it uses less digits than its factorization.

2193986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 2193986880 is about 46840.0136635334. The cubic root of 2193986880 is about 1299.4054243553.

The spelling of 2193986880 in words is "two billion, one hundred ninety-three million, nine hundred eighty-six thousand, eight hundred eighty".