2179040009200 has 120 divisors (see below), whose sum is σ = 5445275337216. Its totient is φ = 837059808000.

The previous prime is 2179040009197. The next prime is 2179040009203. The reversal of 2179040009200 is 29000409712.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2179040009197) and next prime (2179040009203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2179040009203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 953679 + ... + 2295121.

Almost surely, 2^{2179040009200} is an apocalyptic number.

2179040009200 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 2179040009200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722637668608).

2179040009200 is an abundant number, since it is smaller than the sum of its proper divisors (3266235328016).

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

2179040009200 is a wasteful number, since it uses less digits than its factorization.

2179040009200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341623 (or 1341612 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The spelling of 2179040009200 in words is "two trillion, one hundred seventy-nine billion, forty million, nine thousand, two hundred".