2034405100 has 216 divisors, whose sum is σ = 5661200160. Its totient is φ = 620605440.

The previous prime is 2034405089. The next prime is 2034405127. The reversal of 2034405100 is 15044302.

2034405100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2034405100² = 8277608221812020000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3430404 + ... + 3430996.

It is an arithmetic number, because the mean of its divisors is an integer number (26209260).

Almost surely, 2^2034405100 is an apocalyptic number.

2034405100 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 2034405100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830600080).

2034405100 is an abundant number, since it is smaller than the sum of its proper divisors (3626795060).

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

2034405100 is a wasteful number, since it uses less digits than its factorization.

2034405100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2034405100 is about 45104.3800533828. The cubic root of 2034405100 is about 1267.1046323301.

Adding to 2034405100 its reverse (15044302), we get a palindrome (2049449402).

The spelling of 2034405100 in words is "two billion, thirty-four million, four hundred five thousand, one hundred".