2114046100 has 36 divisors (see below), whose sum is σ = 4699378908. Its totient is φ = 824992000.

The previous prime is 2114046071. The next prime is 2114046113. The reversal of 2114046100 is 16404112.

It can be written as a sum of positive squares in 6 ways, for example, as 769063824 + 1344982276 = 27732^2 + 36674^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 253711 + ... + 261910.

It is an arithmetic number, because the mean of its divisors is an integer number (130538303).

Almost surely, 2^2114046100 is an apocalyptic number.

2114046100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114046100 is an abundant number, since it is smaller than the sum of its proper divisors (2585332808).

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

2114046100 is a wasteful number, since it uses less digits than its factorization.

2114046100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515676 (or 515669 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2114046100 is about 45978.7570514906. The cubic root of 2114046100 is about 1283.4279250379.

The spelling of 2114046100 in words is "two billion, one hundred fourteen million, forty-six thousand, one hundred".