2876878368 has 288 divisors, whose sum is σ = 10396818432. Its totient is φ = 734054400.

The previous prime is 2876878343. The next prime is 2876878373. The reversal of 2876878368 is 8638786782.

2876878368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 810678 + ... + 814218.

It is an arithmetic number, because the mean of its divisors is an integer number (36100064).

Almost surely, 2^2876878368 is an apocalyptic number.

2876878368 is a gapful number since it is divisible by the number (28) 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 2876878368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198409216).

2876878368 is an abundant number, since it is smaller than the sum of its proper divisors (7519940064).

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

2876878368 is a wasteful number, since it uses less digits than its factorization.

2876878368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3608 (or 3597 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The square root of 2876878368 is about 53636.5394856902. The cubic root of 2876878368 is about 1422.2430937403.

The spelling of 2876878368 in words is "two billion, eight hundred seventy-six million, eight hundred seventy-eight thousand, three hundred sixty-eight".