2867090688 has 288 divisors, whose sum is σ = 10572549120. Its totient is φ = 744560640.

The previous prime is 2867090683. The next prime is 2867090719. The reversal of 2867090688 is 8860907682.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2867090683) 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, 529531 + ... + 534917.

It is an arithmetic number, because the mean of its divisors is an integer number (36710240).

Almost surely, 2^2867090688 is an apocalyptic number.

2867090688 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 2867090688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5286274560).

2867090688 is an abundant number, since it is smaller than the sum of its proper divisors (7705458432).

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

2867090688 is a wasteful number, since it uses less digits than its factorization.

2867090688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5430 (or 5410 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 2867090688 is about 53545.2209632195. The cubic root of 2867090688 is about 1420.6283485107.

The spelling of 2867090688 in words is "two billion, eight hundred sixty-seven million, ninety thousand, six hundred eighty-eight".