2879815680 has 640 divisors, whose sum is σ = 12180072960. Its totient is φ = 637009920.

The previous prime is 2879815669. The next prime is 2879815721. The reversal of 2879815680 is 865189782.

2879815680 is a `hidden beast` number, since 2 + 8 + 79 + 8 + 1 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92897265 + ... + 92897295.

It is an arithmetic number, because the mean of its divisors is an integer number (19031364).

Almost surely, 2^2879815680 is an apocalyptic number.

2879815680 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 2879815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6090036480).

2879815680 is an abundant number, since it is smaller than the sum of its proper divisors (9300257280).

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

2879815680 is an frugal number, since it uses more digits than its factorization.

2879815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The square root of 2879815680 is about 53663.9141323106. The cubic root of 2879815680 is about 1422.7269689923.

The spelling of 2879815680 in words is "two billion, eight hundred seventy-nine million, eight hundred fifteen thousand, six hundred eighty".