2119896289056 has 576 divisors, whose sum is σ = 7201923176448. Its totient is φ = 533597036544.

The previous prime is 2119896289051. The next prime is 2119896289111. The reversal of 2119896289056 is 6509826989112.

It is a happy number.

It is a super-2 number, since 2×2119896289056² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2119896289051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2238538375 + ... + 2238539321.

It is an arithmetic number, because the mean of its divisors is an integer number (12503338848).

Almost surely, 2^{2119896289056} is an apocalyptic number.

2119896289056 is a gapful number since it is divisible by the number (26) 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 2119896289056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600961588224).

2119896289056 is an abundant number, since it is smaller than the sum of its proper divisors (5082026887392).

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

2119896289056 is a wasteful number, since it uses less digits than its factorization.

2119896289056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 66.

The spelling of 2119896289056 in words is "two trillion, one hundred nineteen billion, eight hundred ninety-six million, two hundred eighty-nine thousand, fifty-six".