2689520820 has 144 divisors (see below), whose sum is σ = 8806089600. Its totient is φ = 611525376.

The previous prime is 2689520791. The next prime is 2689520831. The reversal of 2689520820 is 280259862.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 582762 + ... + 587358.

It is an arithmetic number, because the mean of its divisors is an integer number (61153400).

Almost surely, 2^2689520820 is an apocalyptic number.

2689520820 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 2689520820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403044800).

2689520820 is an abundant number, since it is smaller than the sum of its proper divisors (6116568780).

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

2689520820 is a wasteful number, since it uses less digits than its factorization.

2689520820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4822 (or 4813 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 2689520820 is about 51860.5902396029. The cubic root of 2689520820 is about 1390.6728312766.

The spelling of 2689520820 in words is "two billion, six hundred eighty-nine million, five hundred twenty thousand, eight hundred twenty".