2689120000 has 270 divisors, whose sum is σ = 7825376328. Its totient is φ = 921984000.

The previous prime is 2689119991. The next prime is 2689120019. The reversal of 2689120000 is 219862.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 384159997 + ... + 384160003.

Almost surely, 2^2689120000 is an apocalyptic number.

2689120000 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 2689120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3912688164).

2689120000 is an abundant number, since it is smaller than the sum of its proper divisors (5136256328).

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

2689120000 is an frugal number, since it uses more digits than its factorization.

2689120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 2689120000 is about 51856.7256968660. The cubic root of 2689120000 is about 1390.6037437310.

Multiplying 2689120000 by its sum of digits (28), we get a square (75295360000 = 274400²).

2689120000 divided by its sum of digits (28) gives a square (96040000 = 9800²).

Adding to 2689120000 its reverse (219862), we get a palindrome (2689339862).

The spelling of 2689120000 in words is "two billion, six hundred eighty-nine million, one hundred twenty thousand".