2034014340100 has 36 divisors (see below), whose sum is σ = 4422482763300. Its totient is φ = 812007276160.

The previous prime is 2034014340073. The next prime is 2034014340187. The reversal of 2034014340100 is 10434104302.

It can be written as a sum of positive squares in 6 ways, for example, as 128858025024 + 1905156315076 = 358968^2 + 1380274^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19929595 + ... + 20031394.

It is an arithmetic number, because the mean of its divisors is an integer number (122846743425).

Almost surely, 2^{2034014340100} is an apocalyptic number.

2034014340100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034014340100 is an abundant number, since it is smaller than the sum of its proper divisors (2388468423200).

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

2034014340100 is a wasteful number, since it uses less digits than its factorization.

2034014340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39961512 (or 39961505 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2034014340100 its reverse (10434104302), we get a palindrome (2044448444402).

The spelling of 2034014340100 in words is "two trillion, thirty-four billion, fourteen million, three hundred forty thousand, one hundred".