2034510000 has 200 divisors, whose sum is σ = 6664804080. Its totient is φ = 534528000.

The previous prime is 2034509999. The next prime is 2034510001. The reversal of 2034510000 is 154302.

It is an interprime number because it is at equal distance from previous prime (2034509999) and next prime (2034510001).

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 (15).

It is not an unprimeable number, because it can be changed into a prime (2034510001) 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, 2189536 + ... + 2190464.

Almost surely, 2^2034510000 is an apocalyptic number.

2034510000 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 2034510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332402040).

2034510000 is an abundant number, since it is smaller than the sum of its proper divisors (4630294080).

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

2034510000 is an equidigital number, since it uses as much as digits as its factorization.

2034510000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2034510000 is about 45105.5428966330. The cubic root of 2034510000 is about 1267.1264105216.

Adding to 2034510000 its reverse (154302), we get a palindrome (2034664302).

The spelling of 2034510000 in words is "two billion, thirty-four million, five hundred ten thousand".