2244215233440 has 384 divisors, whose sum is σ = 7971027160320. Its totient is φ = 589653540864.

The previous prime is 2244215233417. The next prime is 2244215233483. The reversal of 2244215233440 is 443325124422.

2244215233440 is a `hidden beast` number, since 2 + 2 + 44 + 21 + 523 + 34 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2244215233395 and 2244215233404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95110284 + ... + 95133876.

It is an arithmetic number, because the mean of its divisors is an integer number (20757883230).

Almost surely, 2^{2244215233440} is an apocalyptic number.

2244215233440 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 2244215233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985513580160).

2244215233440 is an abundant number, since it is smaller than the sum of its proper divisors (5726811926880).

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

2244215233440 is a wasteful number, since it uses less digits than its factorization.

2244215233440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23941 (or 23927 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 2244215233440 in words is "two trillion, two hundred forty-four billion, two hundred fifteen million, two hundred thirty-three thousand, four hundred forty".