2007240066440 has 64 divisors (see below), whose sum is σ = 5161612896000. Its totient is φ = 688178135808.

The previous prime is 2007240066439. The next prime is 2007240066449. The reversal of 2007240066440 is 446600427002.

It is a Cunningham number, because it is equal to 1416771²-1.

It is a super-2 number, since 2×2007240066440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2007240066440.

It is not an unprimeable number, because it can be changed into a prime (2007240066449) 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 15 ways as a sum of consecutive naturals, for example, 14096882 + ... + 14238558.

It is an arithmetic number, because the mean of its divisors is an integer number (80650201500).

Almost surely, 2^{2007240066440} is an apocalyptic number.

2007240066440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2007240066440 is an abundant number, since it is smaller than the sum of its proper divisors (3154372829560).

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

2007240066440 is a wasteful number, since it uses less digits than its factorization.

2007240066440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192294 (or 192290 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

The spelling of 2007240066440 in words is "two trillion, seven billion, two hundred forty million, sixty-six thousand, four hundred forty".