2089240924320 has 1728 divisors, whose sum is σ = 8696034547200. Its totient is φ = 454391562240.

The previous prime is 2089240924313. The next prime is 2089240924427. The reversal of 2089240924320 is 234290429802.

2089240924320 is a `hidden beast` number, since 2 + 0 + 8 + 92 + 40 + 92 + 432 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5986363506 + ... + 5986363854.

It is an arithmetic number, because the mean of its divisors is an integer number (5032427400).

Almost surely, 2^{2089240924320} is an apocalyptic number.

2089240924320 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 2089240924320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348017273600).

2089240924320 is an abundant number, since it is smaller than the sum of its proper divisors (6606793622880).

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

2089240924320 is a wasteful number, since it uses less digits than its factorization.

2089240924320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2089240924320 in words is "two trillion, eighty-nine billion, two hundred forty million, nine hundred twenty-four thousand, three hundred twenty".