2868264256 has 224 divisors, whose sum is σ = 7051121280. Its totient is φ = 1139712000.

The previous prime is 2868264241. The next prime is 2868264313. The reversal of 2868264256 is 6524628682.

2868264256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26806155 + ... + 26806261.

It is an arithmetic number, because the mean of its divisors is an integer number (31478220).

Almost surely, 2^2868264256 is an apocalyptic number.

2868264256 is a gapful number since it is divisible by the number (26) 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 2868264256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525560640).

2868264256 is an abundant number, since it is smaller than the sum of its proper divisors (4182857024).

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

2868264256 is a wasteful number, since it uses less digits than its factorization.

2868264256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 263 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 49.

The square root of 2868264256 is about 53556.1785044452. The cubic root of 2868264256 is about 1420.8221543261.

The spelling of 2868264256 in words is "two billion, eight hundred sixty-eight million, two hundred sixty-four thousand, two hundred fifty-six".