2199495905600 has 672 divisors, whose sum is σ = 6900420844800. Its totient is φ = 672885964800.

The previous prime is 2199495905569. The next prime is 2199495905617. The reversal of 2199495905600 is 65095949912.

It is a super-2 number, since 2×2199495905600² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2199495905600.

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, 253014854 + ... + 253023546.

It is an arithmetic number, because the mean of its divisors is an integer number (10268483400).

Almost surely, 2^{2199495905600} is an apocalyptic number.

2199495905600 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 2199495905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450210422400).

2199495905600 is an abundant number, since it is smaller than the sum of its proper divisors (4700924939200).

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

2199495905600 is a wasteful number, since it uses less digits than its factorization.

2199495905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8811 (or 8796 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 59.

The spelling of 2199495905600 in words is "two trillion, one hundred ninety-nine billion, four hundred ninety-five million, nine hundred five thousand, six hundred".