2240816180064 has 288 divisors, whose sum is σ = 7434513757440. Its totient is φ = 578456017920.

The previous prime is 2240816180063. The next prime is 2240816180081. The reversal of 2240816180064 is 4600816180422.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2240816179998 and 2240816180025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240816180063) 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 47 ways as a sum of consecutive naturals, for example, 13169322 + ... + 13338390.

It is an arithmetic number, because the mean of its divisors is an integer number (25814283880).

Almost surely, 2^{2240816180064} is an apocalyptic number.

2240816180064 is a gapful number since it is divisible by the number (24) 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 2240816180064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717256878720).

2240816180064 is an abundant number, since it is smaller than the sum of its proper divisors (5193697577376).

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

2240816180064 is a wasteful number, since it uses less digits than its factorization.

2240816180064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169274 (or 169255 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 2240816180064 in words is "two trillion, two hundred forty billion, eight hundred sixteen million, one hundred eighty thousand, sixty-four".