2089567451040 has 384 divisors, whose sum is σ = 6702770995200. Its totient is φ = 547131801600.

The previous prime is 2089567451033. The next prime is 2089567451047. The reversal of 2089567451040 is 401547659802.

It is an interprime number because it is at equal distance from previous prime (2089567451033) and next prime (2089567451047).

It is not an unprimeable number, because it can be changed into a prime (2089567451047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4362353521 + ... + 4362353999.

It is an arithmetic number, because the mean of its divisors is an integer number (17455132800).

Almost surely, 2^{2089567451040} is an apocalyptic number.

2089567451040 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 2089567451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351385497600).

2089567451040 is an abundant number, since it is smaller than the sum of its proper divisors (4613203544160).

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

2089567451040 is a wasteful number, since it uses less digits than its factorization.

2089567451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 2089567451040 in words is "two trillion, eighty-nine billion, five hundred sixty-seven million, four hundred fifty-one thousand, forty".