2689202880 has 672 divisors, whose sum is σ = 11787030528. Its totient is φ = 547430400.

The previous prime is 2689202861. The next prime is 2689202891. The reversal of 2689202880 is 882029862.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8124315 + ... + 8124645.

It is an arithmetic number, because the mean of its divisors is an integer number (17540224).

Almost surely, 2^2689202880 is an apocalyptic number.

2689202880 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 2689202880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5893515264).

2689202880 is an abundant number, since it is smaller than the sum of its proper divisors (9097827648).

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

2689202880 is a wasteful number, since it uses less digits than its factorization.

2689202880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2689202880 is about 51857.5248155945. The cubic root of 2689202880 is about 1390.6180299478.

The spelling of 2689202880 in words is "two billion, six hundred eighty-nine million, two hundred two thousand, eight hundred eighty".