2034001000 has 64 divisors (see below), whose sum is σ = 4888288080. Its totient is φ = 791596800.

The previous prime is 2034000959. The next prime is 2034001001. The reversal of 2034001000 is 1004302.

It can be written as a sum of positive squares in 8 ways, for example, as 264452644 + 1769548356 = 16262^2 + 42066^2 .

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 (2034001001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9514 + ... + 64486.

Almost surely, 2^2034001000 is an apocalyptic number.

2034001000 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 2034001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444144040).

2034001000 is an abundant number, since it is smaller than the sum of its proper divisors (2854287080).

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

2034001000 is a wasteful number, since it uses less digits than its factorization.

2034001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55031 (or 55017 counting only the distinct ones).

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

The square root of 2034001000 is about 45099.9002216191. The cubic root of 2034001000 is about 1267.0207305074.

Adding to 2034001000 its reverse (1004302), we get a palindrome (2035005302).

The spelling of 2034001000 in words is "two billion, thirty-four million, one thousand".