2238137607888 has 720 divisors, whose sum is σ = 8052302119680. Its totient is φ = 574942427136.

The previous prime is 2238137607887. The next prime is 2238137607889. The reversal of 2238137607888 is 8887067318322.

2238137607888 is a `hidden beast` number, since 2 + 2 + 3 + 8 + 13 + 7 + 607 + 8 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2238137607887) and next prime (2238137607889).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2238137607883) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 987267331 + ... + 987269597.

It is an arithmetic number, because the mean of its divisors is an integer number (11183752944).

Almost surely, 2^{2238137607888} is an apocalyptic number.

2238137607888 is a gapful number since it is divisible by the number (28) 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 2238137607888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026151059840).

2238137607888 is an abundant number, since it is smaller than the sum of its proper divisors (5814164511792).

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

2238137607888 is a wasteful number, since it uses less digits than its factorization.

2238137607888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 2238137607888 in words is "two trillion, two hundred thirty-eight billion, one hundred thirty-seven million, six hundred seven thousand, eight hundred eighty-eight".