2211159420288 has 960 divisors, whose sum is σ = 8343939431520. Its totient is φ = 568810045440.

The previous prime is 2211159420251. The next prime is 2211159420289. The reversal of 2211159420288 is 8820249511122.

2211159420288 is a `hidden beast` number, since 2 + 2 + 1 + 11 + 594 + 20 + 28 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211159420289) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 502876906 + ... + 502881302.

Almost surely, 2^{2211159420288} is an apocalyptic number.

2211159420288 is a gapful number since it is divisible by the number (28) 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 2211159420288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4171969715760).

2211159420288 is an abundant number, since it is smaller than the sum of its proper divisors (6132780011232).

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

2211159420288 is a wasteful number, since it uses less digits than its factorization.

2211159420288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4497 (or 4463 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 2211159420288 in words is "two trillion, two hundred eleven billion, one hundred fifty-nine million, four hundred twenty thousand, two hundred eighty-eight".