2114530000 has 200 divisors, whose sum is σ = 5717669760. Its totient is φ = 750720000.

The previous prime is 2114529997. The next prime is 2114530003. The reversal of 2114530000 is 354112.

It is an interprime number because it is at equal distance from previous prime (2114529997) and next prime (2114530003).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114530003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5169796 + ... + 5170204.

Almost surely, 2^2114530000 is an apocalyptic number.

2114530000 is a gapful number since it is divisible by the number (20) 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 2114530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858834880).

2114530000 is an abundant number, since it is smaller than the sum of its proper divisors (3603139760).

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

2114530000 is a wasteful number, since it uses less digits than its factorization.

2114530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2114530000 is about 45984.0189631137. The cubic root of 2114530000 is about 1283.5258420754.

Adding to 2114530000 its reverse (354112), we get a palindrome (2114884112).

The spelling of 2114530000 in words is "two billion, one hundred fourteen million, five hundred thirty thousand".