2857766880 has 96 divisors (see below), whose sum is σ = 9011114784. Its totient is φ = 761296896.

The previous prime is 2857766867. The next prime is 2857766881. The reversal of 2857766880 is 886677582.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2857766880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2857766881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591354 + ... + 596166.

It is an arithmetic number, because the mean of its divisors is an integer number (93865779).

Almost surely, 2^2857766880 is an apocalyptic number.

2857766880 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 2857766880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505557392).

2857766880 is an abundant number, since it is smaller than the sum of its proper divisors (6153347904).

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

2857766880 is a wasteful number, since it uses less digits than its factorization.

2857766880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6068 (or 6060 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 57.

The square root of 2857766880 is about 53458.0852631293. The cubic root of 2857766880 is about 1419.0867102267.

The spelling of 2857766880 in words is "two billion, eight hundred fifty-seven million, seven hundred sixty-six thousand, eight hundred eighty".