2220471444240 has 640 divisors, whose sum is σ = 8989900800000. Its totient is φ = 503518643712.

The previous prime is 2220471444229. The next prime is 2220471444241. The reversal of 2220471444240 is 424441740222.

2220471444240 is a `hidden beast` number, since 2 + 2 + 204 + 7 + 1 + 4 + 442 + 4 + 0 = 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 = 2220471444195 and 2220471444204.

It is not an unprimeable number, because it can be changed into a prime (2220471444241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94079961 + ... + 94103559.

It is an arithmetic number, because the mean of its divisors is an integer number (14046720000).

Almost surely, 2^{2220471444240} is an apocalyptic number.

2220471444240 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 2220471444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4494950400000).

2220471444240 is an abundant number, since it is smaller than the sum of its proper divisors (6769429355760).

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

2220471444240 is a wasteful number, since it uses less digits than its factorization.

2220471444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23769 (or 23743 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 36.

The spelling of 2220471444240 in words is "two trillion, two hundred twenty billion, four hundred seventy-one million, four hundred forty-four thousand, two hundred forty".