2878805160 has 768 divisors, whose sum is σ = 12737088000. Its totient is φ = 545587200.

The previous prime is 2878805123. The next prime is 2878805161. The reversal of 2878805160 is 615088782.

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

It is not an unprimeable number, because it can be changed into a prime (2878805161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19320766 + ... + 19320914.

It is an arithmetic number, because the mean of its divisors is an integer number (16584750).

Almost surely, 2^2878805160 is an apocalyptic number.

2878805160 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 2878805160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368544000).

2878805160 is an abundant number, since it is smaller than the sum of its proper divisors (9858282840).

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

2878805160 is a wasteful number, since it uses less digits than its factorization.

2878805160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 2878805160 is about 53654.4980407048. The cubic root of 2878805160 is about 1422.5605390988.

The spelling of 2878805160 in words is "two billion, eight hundred seventy-eight million, eight hundred five thousand, one hundred sixty".