2821830034100 has 144 divisors (see below), whose sum is σ = 7681172706816. Its totient is φ = 874135152000.

The previous prime is 2821830034091. The next prime is 2821830034183. The reversal of 2821830034100 is 14300381282.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130955 + ... + 2379245.

Almost surely, 2^{2821830034100} is an apocalyptic number.

2821830034100 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 2821830034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840586353408).

2821830034100 is an abundant number, since it is smaller than the sum of its proper divisors (4859342672716).

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

2821830034100 is a wasteful number, since it uses less digits than its factorization.

2821830034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248486 (or 2248479 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 2821830034100 in words is "two trillion, eight hundred twenty-one billion, eight hundred thirty million, thirty-four thousand, one hundred".