2087330081040 has 320 divisors, whose sum is σ = 7435638374400. Its totient is φ = 537880352256.

The previous prime is 2087330081033. The next prime is 2087330081071. The reversal of 2087330081040 is 401800337802.

2087330081040 is a `hidden beast` number, since 208 + 7 + 330 + 0 + 81 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2087330080986 and 2087330081004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7889949 + ... + 8150211.

It is an arithmetic number, because the mean of its divisors is an integer number (23236369920).

Almost surely, 2^{2087330081040} is an apocalyptic number.

2087330081040 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 2087330081040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717819187200).

2087330081040 is an abundant number, since it is smaller than the sum of its proper divisors (5348308293360).

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

2087330081040 is a wasteful number, since it uses less digits than its factorization.

2087330081040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260411 (or 260399 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 2087330081040 in words is "two trillion, eighty-seven billion, three hundred thirty million, eighty-one thousand, forty".