2119975011000 has 1024 divisors, whose sum is σ = 9276553728000. Its totient is φ = 440479296000.

The previous prime is 2119975010957. The next prime is 2119975011029. The reversal of 2119975011000 is 1105799112.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 168392706 + ... + 168405294.

It is an arithmetic number, because the mean of its divisors is an integer number (9059134500).

Almost surely, 2^{2119975011000} is an apocalyptic number.

2119975011000 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 2119975011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4638276864000).

2119975011000 is an abundant number, since it is smaller than the sum of its proper divisors (7156578717000).

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

2119975011000 is a wasteful number, since it uses less digits than its factorization.

2119975011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12649 (or 12617 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 36.

The spelling of 2119975011000 in words is "two trillion, one hundred nineteen billion, nine hundred seventy-five million, eleven thousand".