2878387200 has 594 divisors, whose sum is σ = 11468329782. Its totient is φ = 685670400.

The previous prime is 2878387163. The next prime is 2878387219. The reversal of 2878387200 is 27838782.

It can be written as a sum of positive squares in 3 ways, for example, as 8856576 + 2869530624 = 2976^2 + 53568^2 .

It is a super-2 number, since 2×2878387200² = 16570225746247680000, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 92851185 + ... + 92851215.

Almost surely, 2^2878387200 is an apocalyptic number.

2878387200 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 2878387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5734164891).

2878387200 is an abundant number, since it is smaller than the sum of its proper divisors (8589942582).

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

2878387200 is a wasteful number, since it uses less digits than its factorization.

2878387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 2878387200 is about 53650.6029789042. The cubic root of 2878387200 is about 1422.4916908387.

The spelling of 2878387200 in words is "two billion, eight hundred seventy-eight million, three hundred eighty-seven thousand, two hundred".