2868880896 has 320 divisors, whose sum is σ = 10135065600. Its totient is φ = 783433728.

The previous prime is 2868880891. The next prime is 2868880921. The reversal of 2868880896 is 6980888682.

2868880896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2868880891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2225020 + ... + 2226308.

It is an arithmetic number, because the mean of its divisors is an integer number (31672080).

Almost surely, 2^2868880896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2868880896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067532800).

2868880896 is an abundant number, since it is smaller than the sum of its proper divisors (7266184704).

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

2868880896 is a wasteful number, since it uses less digits than its factorization.

2868880896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The square root of 2868880896 is about 53561.9351405455. The cubic root of 2868880896 is about 1420.9239665392.

The spelling of 2868880896 in words is "two billion, eight hundred sixty-eight million, eight hundred eighty thousand, eight hundred ninety-six".