2114500032 has 224 divisors, whose sum is σ = 6574901760. Its totient is φ = 665026560.

The previous prime is 2114500007. The next prime is 2114500033. The reversal of 2114500032 is 2300054112.

2114500032 is a `hidden beast` number, since 211 + 450 + 0 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×2114500032² = 8942220770656002048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2114499978 and 2114500014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114500033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3298432 + ... + 3299072.

It is an arithmetic number, because the mean of its divisors is an integer number (29352240).

Almost surely, 2^2114500032 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 2114500032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287450880).

2114500032 is an abundant number, since it is smaller than the sum of its proper divisors (4460401728).

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

2114500032 is a wasteful number, since it uses less digits than its factorization.

2114500032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2114500032 is about 45983.6931096231. The cubic root of 2114500032 is about 1283.5197784924.

Adding to 2114500032 its reverse (2300054112), we get a palindrome (4414554144).

The spelling of 2114500032 in words is "two billion, one hundred fourteen million, five hundred thousand, thirty-two".