2689459240000 has 210 divisors, whose sum is σ = 7221463274850. Its totient is φ = 993028608000.

The previous prime is 2689459239941. The next prime is 2689459240063. The reversal of 2689459240000 is 429549862.

It can be written as a sum of positive squares in 15 ways, for example, as 2092350678016 + 597108561984 = 1446496^2 + 772728^2 .

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, 6561076 + ... + 6958924.

Almost surely, 2^{2689459240000} is an apocalyptic number.

2689459240000 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 2689459240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610731637425).

2689459240000 is an abundant number, since it is smaller than the sum of its proper divisors (4532004034850).

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

2689459240000 is an equidigital number, since it uses as much as digits as its factorization.

2689459240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397907 (or 397869 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 2689459240000 in words is "two trillion, six hundred eighty-nine billion, four hundred fifty-nine million, two hundred forty thousand".