2213232723504 has 1600 divisors, whose sum is σ = 8037342720000. Its totient is φ = 580027392000.

The previous prime is 2213232723431. The next prime is 2213232723511. The reversal of 2213232723504 is 4053272323122.

2213232723504 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 232 + 72 + 350 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 14853910822 + ... + 14853910970.

It is an arithmetic number, because the mean of its divisors is an integer number (5023339200).

Almost surely, 2^{2213232723504} is an apocalyptic number.

2213232723504 is a gapful number since it is divisible by the number (24) 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 2213232723504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4018671360000).

2213232723504 is an abundant number, since it is smaller than the sum of its proper divisors (5824109996496).

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

2213232723504 is a wasteful number, since it uses less digits than its factorization.

2213232723504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 2213232723504 in words is "two trillion, two hundred thirteen billion, two hundred thirty-two million, seven hundred twenty-three thousand, five hundred four".