2238536707680 has 384 divisors, whose sum is σ = 8755456002048. Its totient is φ = 468125908992.

The previous prime is 2238536707661. The next prime is 2238536707717. The reversal of 2238536707680 is 867076358322.

It is a super-2 number, since 2×2238536707680² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2238536707680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4709077 + ... + 5162603.

It is an arithmetic number, because the mean of its divisors is an integer number (22800666672).

Almost surely, 2^{2238536707680} is an apocalyptic number.

2238536707680 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 2238536707680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4377728001024).

2238536707680 is an abundant number, since it is smaller than the sum of its proper divisors (6516919294368).

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

2238536707680 is a wasteful number, since it uses less digits than its factorization.

2238536707680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453678 (or 453670 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 57.

The spelling of 2238536707680 in words is "two trillion, two hundred thirty-eight billion, five hundred thirty-six million, seven hundred seven thousand, six hundred eighty".