2867677568 has 192 divisors, whose sum is σ = 7040056320. Its totient is φ = 1161699840.

The previous prime is 2867677541. The next prime is 2867677577. The reversal of 2867677568 is 8657767682.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a self number, because there is not a number n which added to its sum of digits gives 2867677568.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66690155 + ... + 66690197.

It is an arithmetic number, because the mean of its divisors is an integer number (36666960).

Almost surely, 2^2867677568 is an apocalyptic number.

2867677568 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 2867677568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520028160).

2867677568 is an abundant number, since it is smaller than the sum of its proper divisors (4172378752).

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

2867677568 is an frugal number, since it uses more digits than its factorization.

2867677568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 83 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 62.

The square root of 2867677568 is about 53550.7009104456. The cubic root of 2867677568 is about 1420.7252738815.

The spelling of 2867677568 in words is "two billion, eight hundred sixty-seven million, six hundred seventy-seven thousand, five hundred sixty-eight".