2813867100 has 504 divisors, whose sum is σ = 10416989520. Its totient is φ = 658627200.

The previous prime is 2813867099. The next prime is 2813867113. The reversal of 2813867100 is 17683182.

2813867100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 97029886 + ... + 97029914.

It is an arithmetic number, because the mean of its divisors is an integer number (20668630).

Almost surely, 2^2813867100 is an apocalyptic number.

2813867100 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 2813867100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208494760).

2813867100 is an abundant number, since it is smaller than the sum of its proper divisors (7603122420).

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

2813867100 is a wasteful number, since it uses less digits than its factorization.

2813867100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2813867100 is about 53045.8961654905. The cubic root of 2813867100 is about 1411.7827156710.

The spelling of 2813867100 in words is "two billion, eight hundred thirteen million, eight hundred sixty-seven thousand, one hundred".