2209157017056 has 288 divisors, whose sum is σ = 7261025387616. Its totient is φ = 629673984000.

The previous prime is 2209157017051. The next prime is 2209157017079. The reversal of 2209157017056 is 6507107519022.

2209157017056 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 1 + 570 + 1 + 70 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2209157017051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93751516 + ... + 93775076.

It is an arithmetic number, because the mean of its divisors is an integer number (25211893707).

Almost surely, 2^{2209157017056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2209157017056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630512693808).

2209157017056 is an abundant number, since it is smaller than the sum of its proper divisors (5051868370560).

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

2209157017056 is a wasteful number, since it uses less digits than its factorization.

2209157017056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25346 (or 25335 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 2209157017056 in words is "two trillion, two hundred nine billion, one hundred fifty-seven million, seventeen thousand, fifty-six".