2107083888000 has 4608 divisors, whose sum is σ = 10622596608000. Its totient is φ = 407586816000.

The previous prime is 2107083887963. The next prime is 2107083888017. The reversal of 2107083888000 is 8883807012.

It is a happy number.

It is a super-2 number, since 2×2107083888000² (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 an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 67970447985 + ... + 67970448015.

It is an arithmetic number, because the mean of its divisors is an integer number (2305251000).

Almost surely, 2^{2107083888000} is an apocalyptic number.

2107083888000 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 2107083888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5311298304000).

2107083888000 is an abundant number, since it is smaller than the sum of its proper divisors (8515512720000).

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

2107083888000 is a wasteful number, since it uses less digits than its factorization.

2107083888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 2107083888000 in words is "two trillion, one hundred seven billion, eighty-three million, eight hundred eighty-eight thousand".