2213008072704 has 1792 divisors, whose sum is σ = 8300188753920. Its totient is φ = 573308928000.

The previous prime is 2213008072699. The next prime is 2213008072733. The reversal of 2213008072704 is 4072708003122.

2213008072704 is a `hidden beast` number, since 2 + 2 + 1 + 300 + 80 + 7 + 270 + 4 = 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 127 ways as a sum of consecutive naturals, for example, 36278820834 + ... + 36278820894.

It is an arithmetic number, because the mean of its divisors is an integer number (4631801760).

Almost surely, 2^{2213008072704} is an apocalyptic number.

2213008072704 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 2213008072704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150094376960).

2213008072704 is an abundant number, since it is smaller than the sum of its proper divisors (6087180681216).

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

2213008072704 is a wasteful number, since it uses less digits than its factorization.

2213008072704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 2213008072704 in words is "two trillion, two hundred thirteen billion, eight million, seventy-two thousand, seven hundred four".