2199896254080 has 768 divisors, whose sum is σ = 9375981984000. Its totient is φ = 485488926720.

The previous prime is 2199896254063. The next prime is 2199896254111. The reversal of 2199896254080 is 804526989912.

2199896254080 is a `hidden beast` number, since 2 + 1 + 9 + 9 + 8 + 9 + 6 + 2 + 540 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2199896253999 and 2199896254017.

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 95 ways as a sum of consecutive naturals, for example, 24510085 + ... + 24599675.

It is an arithmetic number, because the mean of its divisors is an integer number (12208309875).

Almost surely, 2^{2199896254080} is an apocalyptic number.

2199896254080 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 2199896254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687990992000).

2199896254080 is an abundant number, since it is smaller than the sum of its proper divisors (7176085729920).

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

2199896254080 is a wasteful number, since it uses less digits than its factorization.

2199896254080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89662 (or 89637 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 2199896254080 in words is "two trillion, one hundred ninety-nine billion, eight hundred ninety-six million, two hundred fifty-four thousand, eighty".