2034010000 has 225 divisors, whose sum is σ = 5548168549. Its totient is φ = 721600000.

The previous prime is 2034009979. The next prime is 2034010003. The reversal of 2034010000 is 104302.

The square root of 2034010000 is 45100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 2026080144 + 7929856 = 45012^2 + 2816^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2034010003) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 49609980 + ... + 49610020.

Almost surely, 2^2034010000 is an apocalyptic number.

2034010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2034010000 is the 45100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034010000

2034010000 is an abundant number, since it is smaller than the sum of its proper divisors (3514158549).

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

2034010000 is an equidigital number, since it uses as much as digits as its factorization.

2034010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The cubic root of 2034010000 is about 1267.0225992659.

Adding to 2034010000 its reverse (104302), we get a palindrome (2034114302).

The spelling of 2034010000 in words is "two billion, thirty-four million, ten thousand".