2034114500 has 96 divisors (see below), whose sum is σ = 4915572480. Its totient is φ = 729120000.

The previous prime is 2034114493. The next prime is 2034114517. The reversal of 2034114500 is 54114302.

It is a super-2 number, since 2×2034114500² = 8275243598220500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387896 + ... + 393104.

It is an arithmetic number, because the mean of its divisors is an integer number (51203880).

Almost surely, 2^2034114500 is an apocalyptic number.

2034114500 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 2034114500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457786240).

2034114500 is an abundant number, since it is smaller than the sum of its proper divisors (2881457980).

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

2034114500 is a wasteful number, since it uses less digits than its factorization.

2034114500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5310 (or 5298 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2034114500 is about 45101.1585217054. The cubic root of 2034114500 is about 1267.0442972245.

Adding to 2034114500 its reverse (54114302), we get a palindrome (2088228802).

The spelling of 2034114500 in words is "two billion, thirty-four million, one hundred fourteen thousand, five hundred".