2877884100 has 864 divisors, whose sum is σ = 12351709440. Its totient is φ = 560701440.

The previous prime is 2877884099. The next prime is 2877884129. The reversal of 2877884100 is 14887782.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 54299674 + ... + 54299726.

It is an arithmetic number, because the mean of its divisors is an integer number (14295960).

Almost surely, 2^2877884100 is an apocalyptic number.

2877884100 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 2877884100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6175854720).

2877884100 is an abundant number, since it is smaller than the sum of its proper divisors (9473825340).

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

2877884100 is a wasteful number, since it uses less digits than its factorization.

2877884100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 2877884100 is about 53645.9141034991. The cubic root of 2877884100 is about 1422.4088090928.

The spelling of 2877884100 in words is "two billion, eight hundred seventy-seven million, eight hundred eighty-four thousand, one hundred".