2114065056 has 144 divisors (see below), whose sum is σ = 6153223104. Its totient is φ = 634208256.

The previous prime is 2114064961. The next prime is 2114065061. The reversal of 2114065056 is 6505604112.

It is a super-2 number, since 2×2114065056² = 8938542122000566272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 636456 + ... + 639768.

It is an arithmetic number, because the mean of its divisors is an integer number (42730716).

Almost surely, 2^2114065056 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 2114065056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076611552).

2114065056 is an abundant number, since it is smaller than the sum of its proper divisors (4039158048).

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

2114065056 is a wasteful number, since it uses less digits than its factorization.

2114065056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 2114065056 is about 45978.9631897023. The cubic root of 2114065056 is about 1283.4317610607.

Adding to 2114065056 its reverse (6505604112), we get a palindrome (8619669168).

The spelling of 2114065056 in words is "two billion, one hundred fourteen million, sixty-five thousand, fifty-six".