2223345738240 has 480 divisors, whose sum is σ = 8406467701632. Its totient is φ = 538583040000.

The previous prime is 2223345738227. The next prime is 2223345738247. The reversal of 2223345738240 is 428375433222.

2223345738240 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 34 + 573 + 8 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (2223345738247) 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, 456443005 + ... + 456447875.

Almost surely, 2^{2223345738240} is an apocalyptic number.

2223345738240 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 2223345738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203233850816).

2223345738240 is an abundant number, since it is smaller than the sum of its proper divisors (6183121963392).

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

2223345738240 is a wasteful number, since it uses less digits than its factorization.

2223345738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6712 (or 6693 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 2223345738240 in words is "two trillion, two hundred twenty-three billion, three hundred forty-five million, seven hundred thirty-eight thousand, two hundred forty".