2232011980800 has 1920 divisors, whose sum is σ = 10110611808000. Its totient is φ = 471104225280.

The previous prime is 2232011980769. The next prime is 2232011980819. The reversal of 2232011980800 is 80891102322.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×2232011980800³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42113433574 + ... + 42113433626.

It is an arithmetic number, because the mean of its divisors is an integer number (5265943650).

Almost surely, 2^{2232011980800} is an apocalyptic number.

2232011980800 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 2232011980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5055305904000).

2232011980800 is an abundant number, since it is smaller than the sum of its proper divisors (7878599827200).

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

2232011980800 is an frugal number, since it uses more digits than its factorization.

2232011980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 2232011980800 in words is "two trillion, two hundred thirty-two billion, eleven million, nine hundred eighty thousand, eight hundred".