2089352724480 has 2048 divisors, whose sum is σ = 9286047360000. Its totient is φ = 449474199552.

The previous prime is 2089352724479. The next prime is 2089352724523. The reversal of 2089352724480 is 844272539802.

2089352724480 is a `hidden beast` number, since 2 + 0 + 8 + 93 + 5 + 2 + 72 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 17136 × 15120 × 8064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122903101432 + ... + 122903101448.

Almost surely, 2^{2089352724480} is an apocalyptic number.

2089352724480 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 2089352724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4643023680000).

2089352724480 is an abundant number, since it is smaller than the sum of its proper divisors (7196694635520).

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

2089352724480 is an frugal number, since it uses more digits than its factorization.

2089352724480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 2089352724480 in words is "two trillion, eighty-nine billion, three hundred fifty-two million, seven hundred twenty-four thousand, four hundred eighty".