2205944083440 has 640 divisors, whose sum is σ = 8033384044800. Its totient is φ = 555525734400.

The previous prime is 2205944083381. The next prime is 2205944083451. The reversal of 2205944083440 is 443804495022.

2205944083440 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 94 + 40 + 83 + 440 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1331287092 + ... + 1331288748.

It is an arithmetic number, because the mean of its divisors is an integer number (12552162570).

Almost surely, 2^{2205944083440} is an apocalyptic number.

2205944083440 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 2205944083440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4016692022400).

2205944083440 is an abundant number, since it is smaller than the sum of its proper divisors (5827439961360).

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

2205944083440 is a wasteful number, since it uses less digits than its factorization.

2205944083440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

It can be divided in two parts, 220594 and 4083440, that added together give a palindrome (4304034).

The spelling of 2205944083440 in words is "two trillion, two hundred five billion, nine hundred forty-four million, eighty-three thousand, four hundred forty".