2083687001088 has 1056 divisors, whose sum is σ = 7265834688000. Its totient is φ = 530123489280.

The previous prime is 2083687001051. The next prime is 2083687001089. The reversal of 2083687001088 is 8801007863802.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a self number, because there is not a number n which added to its sum of digits gives 2083687001088.

It is not an unprimeable number, because it can be changed into a prime (2083687001089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7522335606 + ... + 7522335882.

Almost surely, 2^{2083687001088} is an apocalyptic number.

2083687001088 is a gapful number since it is divisible by the number (28) 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 2083687001088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632917344000).

2083687001088 is an abundant number, since it is smaller than the sum of its proper divisors (5182147686912).

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

2083687001088 is a wasteful number, since it uses less digits than its factorization.

2083687001088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The spelling of 2083687001088 in words is "two trillion, eighty-three billion, six hundred eighty-seven million, one thousand, eighty-eight".