2880878400 has 210 divisors, whose sum is σ = 10589860710. Its totient is φ = 768199680.

The previous prime is 2880878347. The next prime is 2880878417. The reversal of 2880878400 is 48780882.

It can be written as a sum of positive squares in 3 ways, for example, as 49787136 + 2831091264 = 7056^2 + 53208^2 .

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 (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 118486 + ... + 140714.

Almost surely, 2^2880878400 is an apocalyptic number.

2880878400 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 2880878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5294930355).

2880878400 is an abundant number, since it is smaller than the sum of its proper divisors (7708982310).

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

2880878400 is a wasteful number, since it uses less digits than its factorization.

2880878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22263 (or 22239 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 2880878400 is about 53673.8148448571. The cubic root of 2880878400 is about 1422.9019540871.

The spelling of 2880878400 in words is "two billion, eight hundred eighty million, eight hundred seventy-eight thousand, four hundred".