2813894777100 has 144 divisors (see below), whose sum is σ = 8883371177856. Its totient is φ = 682026048000.

The previous prime is 2813894777093. The next prime is 2813894777119. The reversal of 2813894777100 is 17774983182.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17797395 + ... + 17954805.

It is an arithmetic number, because the mean of its divisors is an integer number (61690077624).

Almost surely, 2^{2813894777100} is an apocalyptic number.

2813894777100 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 2813894777100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441685588928).

2813894777100 is an abundant number, since it is smaller than the sum of its proper divisors (6069476400756).

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

2813894777100 is a wasteful number, since it uses less digits than its factorization.

2813894777100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162856 (or 162849 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 57.

The spelling of 2813894777100 in words is "two trillion, eight hundred thirteen billion, eight hundred ninety-four million, seven hundred seventy-seven thousand, one hundred".