2196815428080 has 720 divisors, whose sum is σ = 9353831628960. Its totient is φ = 457911595008.

The previous prime is 2196815428043. The next prime is 2196815428109. The reversal of 2196815428080 is 808245186912.

2196815428080 is a `hidden beast` number, since 2 + 1 + 96 + 8 + 1 + 542 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38038266 + ... + 38095974.

It is an arithmetic number, because the mean of its divisors is an integer number (12991432818).

Almost surely, 2^{2196815428080} is an apocalyptic number.

2196815428080 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 2196815428080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4676915814480).

2196815428080 is an abundant number, since it is smaller than the sum of its proper divisors (7157016200880).

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

2196815428080 is a wasteful number, since it uses less digits than its factorization.

2196815428080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57838 (or 57822 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 2196815428080 in words is "two trillion, one hundred ninety-six billion, eight hundred fifteen million, four hundred twenty-eight thousand, eighty".