2119049305200 has 1920 divisors, whose sum is σ = 8590485094400. Its totient is φ = 493807104000.

The previous prime is 2119049305187. The next prime is 2119049305211. The reversal of 2119049305200 is 25039409112.

2119049305200 is a `hidden beast` number, since 2 + 1 + 1 + 90 + 49 + 3 + 0 + 520 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 16685427537 + ... + 16685427663.

Almost surely, 2^{2119049305200} is an apocalyptic number.

2119049305200 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 2119049305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295242547200).

2119049305200 is an abundant number, since it is smaller than the sum of its proper divisors (6471435789200).

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

2119049305200 is a wasteful number, since it uses less digits than its factorization.

2119049305200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

It can be divided in two parts, 2119049 and 305200, that added together give a square (2424249 = 1557²).

The spelling of 2119049305200 in words is "two trillion, one hundred nineteen billion, forty-nine million, three hundred five thousand, two hundred".