2089213439040 has 2240 divisors, whose sum is σ = 9485446225920. Its totient is φ = 430160855040.

The previous prime is 2089213439011. The next prime is 2089213439041. The reversal of 2089213439040 is 409343129802.

2089213439040 is a `hidden beast` number, since 2 + 0 + 8 + 9 + 213 + 4 + 390 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×2089213439040² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2089213439041) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 16450499457 + ... + 16450499583.

It is an arithmetic number, because the mean of its divisors is an integer number (4234574208).

Almost surely, 2^{2089213439040} is an apocalyptic number.

2089213439040 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 2089213439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4742723112960).

2089213439040 is an abundant number, since it is smaller than the sum of its proper divisors (7396232786880).

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

2089213439040 is a wasteful number, since it uses less digits than its factorization.

2089213439040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 2089213439040 in words is "two trillion, eighty-nine billion, two hundred thirteen million, four hundred thirty-nine thousand, forty".