2087008000000 has 1008 divisors, whose sum is σ = 6674124726360. Its totient is φ = 650496000000.

The previous prime is 2087007999971. The next prime is 2087008000009. The reversal of 2087008000000 is 8007802.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2087008000009) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 189727999995 + ... + 189728000005.

Almost surely, 2^{2087008000000} is an apocalyptic number.

2087008000000 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 2087008000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337062363180).

2087008000000 is an abundant number, since it is smaller than the sum of its proper divisors (4587116726360).

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

2087008000000 is an frugal number, since it uses more digits than its factorization.

2087008000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The spelling of 2087008000000 in words is "two trillion, eighty-seven billion, eight million", and thus it is an aban number and an uban number.