2878809120 has 384 divisors, whose sum is σ = 11376288000. Its totient is φ = 673505280.

The previous prime is 2878809119. The next prime is 2878809127. The reversal of 2878809120 is 219088782.

It is a happy number.

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 (2878809127) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1377036 + ... + 1379124.

It is an arithmetic number, because the mean of its divisors is an integer number (29625750).

Almost surely, 2^2878809120 is an apocalyptic number.

2878809120 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 2878809120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688144000).

2878809120 is an abundant number, since it is smaller than the sum of its proper divisors (8497478880).

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

2878809120 is a wasteful number, since it uses less digits than its factorization.

2878809120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 2878809120 is about 53654.5349434696. The cubic root of 2878809120 is about 1422.5611913760.

The spelling of 2878809120 in words is "two billion, eight hundred seventy-eight million, eight hundred nine thousand, one hundred twenty".