2623181123600 has 240 divisors, whose sum is σ = 6926728089600. Its totient is φ = 950222338560.

The previous prime is 2623181123593. The next prime is 2623181123603. The reversal of 2623181123600 is 63211813262.

It is a super-2 number, since 2×2623181123600² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2623181123603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345925409 + ... + 345932991.

It is an arithmetic number, because the mean of its divisors is an integer number (28861367040).

Almost surely, 2^{2623181123600} is an apocalyptic number.

2623181123600 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 2623181123600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463364044800).

2623181123600 is an abundant number, since it is smaller than the sum of its proper divisors (4303546966000).

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

2623181123600 is a wasteful number, since it uses less digits than its factorization.

2623181123600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9622 (or 9611 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

Adding to 2623181123600 its reverse (63211813262), we get a palindrome (2686392936862).

The spelling of 2623181123600 in words is "two trillion, six hundred twenty-three billion, one hundred eighty-one million, one hundred twenty-three thousand, six hundred".