2868777600 has 384 divisors, whose sum is σ = 10312673280. Its totient is φ = 696729600.

The previous prime is 2868777589. The next prime is 2868777607. The reversal of 2868777600 is 67778682.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2868777607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15849510 + ... + 15849690.

It is an arithmetic number, because the mean of its divisors is an integer number (26855920).

Almost surely, 2^2868777600 is an apocalyptic number.

2868777600 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 2868777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5156336640).

2868777600 is an abundant number, since it is smaller than the sum of its proper divisors (7443895680).

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

2868777600 is a wasteful number, since it uses less digits than its factorization.

2868777600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 51.

The square root of 2868777600 is about 53560.9708649871. The cubic root of 2868777600 is about 1420.9069125579.

The spelling of 2868777600 in words is "two billion, eight hundred sixty-eight million, seven hundred seventy-seven thousand, six hundred".