2244131619840 has 880 divisors, whose sum is σ = 9075806498880. Its totient is φ = 525241221120.

The previous prime is 2244131619833. The next prime is 2244131619893. The reversal of 2244131619840 is 489161314422.

2244131619840 is a `hidden beast` number, since 2 + 2 + 4 + 413 + 1 + 6 + 198 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

It is a super-2 number, since 2×2244131619840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 132287199 + ... + 132304161.

It is an arithmetic number, because the mean of its divisors is an integer number (10313416476).

Almost surely, 2^{2244131619840} is an apocalyptic number.

2244131619840 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 2244131619840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4537903249440).

2244131619840 is an abundant number, since it is smaller than the sum of its proper divisors (6831674879040).

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

2244131619840 is a wasteful number, since it uses less digits than its factorization.

2244131619840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17040 (or 17013 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2244131619840 in words is "two trillion, two hundred forty-four billion, one hundred thirty-one million, six hundred nineteen thousand, eight hundred forty".