2196760544160 has 1152 divisors, whose sum is σ = 9475463337984. Its totient is φ = 422125240320.

The previous prime is 2196760544159. The next prime is 2196760544183. The reversal of 2196760544160 is 614450676912.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 161128704 + ... + 161142336.

It is an arithmetic number, because the mean of its divisors is an integer number (8225228592).

Almost surely, 2^{2196760544160} is an apocalyptic number.

2196760544160 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 2196760544160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737731668992).

2196760544160 is an abundant number, since it is smaller than the sum of its proper divisors (7278702793824).

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

2196760544160 is a wasteful number, since it uses less digits than its factorization.

2196760544160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13726 (or 13711 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 2196760544160 in words is "two trillion, one hundred ninety-six billion, seven hundred sixty million, five hundred forty-four thousand, one hundred sixty".