2231957839104 has 288 divisors, whose sum is σ = 7940204160000. Its totient is φ = 604138715136.

The previous prime is 2231957839003. The next prime is 2231957839109. The reversal of 2231957839104 is 4019387591322.

2231957839104 is a `hidden beast` number, since 2 + 2 + 31 + 9 + 578 + 39 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×2231957839104³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231957839109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294654 + ... + 2133245.

Almost surely, 2^{2231957839104} is an apocalyptic number.

2231957839104 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 2231957839104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970102080000).

2231957839104 is an abundant number, since it is smaller than the sum of its proper divisors (5708246320896).

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

2231957839104 is a wasteful number, since it uses less digits than its factorization.

2231957839104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427950 (or 2427930 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 2231957839104 in words is "two trillion, two hundred thirty-one billion, nine hundred fifty-seven million, eight hundred thirty-nine thousand, one hundred four".