2034022100 has 108 divisors (see below), whose sum is σ = 4904407452. Its totient is φ = 731596800.

The previous prime is 2034022087. The next prime is 2034022117. The reversal of 2034022100 is 12204302.

It can be written as a sum of positive squares in 6 ways, for example, as 76667536 + 1957354564 = 8756^2 + 44242^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1172834 + ... + 1174566.

Almost surely, 2^2034022100 is an apocalyptic number.

2034022100 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 2034022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452203726).

2034022100 is an abundant number, since it is smaller than the sum of its proper divisors (2870385352).

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

2034022100 is a wasteful number, since it uses less digits than its factorization.

2034022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2034022100 is about 45100.1341461420. The cubic root of 2034022100 is about 1267.0251116991.

Adding to 2034022100 its reverse (12204302), we get a palindrome (2046226402).

It can be divided in two parts, 203402 and 2100, that added together give a palindrome (205502).

The spelling of 2034022100 in words is "two billion, thirty-four million, twenty-two thousand, one hundred".