2119789240800 has 2304 divisors, whose sum is σ = 9330602803200. Its totient is φ = 405118771200.

The previous prime is 2119789240787. The next prime is 2119789240819. The reversal of 2119789240800 is 80429879112.

It is a happy number.

It is a super-2 number, since 2×2119789240800² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19811114347 + ... + 19811114453.

It is an arithmetic number, because the mean of its divisors is an integer number (4049740800).

Almost surely, 2^{2119789240800} is an apocalyptic number.

2119789240800 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 2119789240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665301401600).

2119789240800 is an abundant number, since it is smaller than the sum of its proper divisors (7210813562400).

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

2119789240800 is a wasteful number, since it uses less digits than its factorization.

2119789240800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The spelling of 2119789240800 in words is "two trillion, one hundred nineteen billion, seven hundred eighty-nine million, two hundred forty thousand, eight hundred".