2211975338160 has 960 divisors, whose sum is σ = 8535773675520. Its totient is φ = 471111137280.

The previous prime is 2211975338113. The next prime is 2211975338197. The reversal of 2211975338160 is 618335791122.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 5132193145 + ... + 5132193575.

It is an arithmetic number, because the mean of its divisors is an integer number (8891430912).

Almost surely, 2^{2211975338160} is an apocalyptic number.

2211975338160 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 2211975338160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267886837760).

2211975338160 is an abundant number, since it is smaller than the sum of its proper divisors (6323798337360).

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

2211975338160 is a wasteful number, since it uses less digits than its factorization.

2211975338160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 2211975338160 in words is "two trillion, two hundred eleven billion, nine hundred seventy-five million, three hundred thirty-eight thousand, one hundred sixty".