2689405044480 has 2304 divisors, whose sum is σ = 12826456473600. Its totient is φ = 516694671360.

The previous prime is 2689405044439. The next prime is 2689405044493. The reversal of 2689405044480 is 844405049862.

It is a happy number.

2689405044480 is a `hidden beast` number, since 2 + 6 + 8 + 94 + 0 + 504 + 4 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 255 ways as a sum of consecutive naturals, for example, 2174134422 + ... + 2174135658.

It is an arithmetic number, because the mean of its divisors is an integer number (5567038400).

Almost surely, 2^{2689405044480} is an apocalyptic number.

2689405044480 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 2689405044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6413228236800).

2689405044480 is an abundant number, since it is smaller than the sum of its proper divisors (10137051429120).

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

2689405044480 is a wasteful number, since it uses less digits than its factorization.

2689405044480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 2689405044480 in words is "two trillion, six hundred eighty-nine billion, four hundred five million, forty-four thousand, four hundred eighty".