2034021000 has 128 divisors (see below), whose sum is σ = 6923180160. Its totient is φ = 493088000.

The previous prime is 2034020983. The next prime is 2034021007. The reversal of 2034021000 is 1204302.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2034021007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2182 + ... + 63818.

It is an arithmetic number, because the mean of its divisors is an integer number (54087345).

Almost surely, 2^2034021000 is an apocalyptic number.

2034021000 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 2034021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461590080).

2034021000 is an abundant number, since it is smaller than the sum of its proper divisors (4889159160).

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

2034021000 is a wasteful number, since it uses less digits than its factorization.

2034021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61672 (or 61658 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2034021000 is about 45100.1219510546. The cubic root of 2034021000 is about 1267.0248832965.

Adding to 2034021000 its reverse (1204302), we get a palindrome (2035225302).

It can be divided in two parts, 203402 and 1000, that added together give a palindrome (204402).

The spelling of 2034021000 in words is "two billion, thirty-four million, twenty-one thousand".