2240227171840 has 320 divisors, whose sum is σ = 6507962892288. Its totient is φ = 723205324800.

The previous prime is 2240227171837. The next prime is 2240227171843. The reversal of 2240227171840 is 481717220422.

It is an interprime number because it is at equal distance from previous prime (2240227171837) and next prime (2240227171843).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2240227171793 and 2240227171802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240227171843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20499745 + ... + 20608735.

Almost surely, 2^{2240227171840} is an apocalyptic number.

2240227171840 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 2240227171840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253981446144).

2240227171840 is an abundant number, since it is smaller than the sum of its proper divisors (4267735720448).

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

2240227171840 is a wasteful number, since it uses less digits than its factorization.

2240227171840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109089 (or 109073 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 40.

The spelling of 2240227171840 in words is "two trillion, two hundred forty billion, two hundred twenty-seven million, one hundred seventy-one thousand, eight hundred forty".