2007587114240 has 36 divisors (see below), whose sum is σ = 4808798512644. Its totient is φ = 803034845184.

The previous prime is 2007587114207. The next prime is 2007587114251. The reversal of 2007587114240 is 424117857002.

It can be written as a sum of positive squares in 2 ways, for example, as 519460381696 + 1488126732544 = 720736^2 + 1219888^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 784212437 + ... + 784214996.

Almost surely, 2^{2007587114240} is an apocalyptic number.

2007587114240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2007587114240 is an abundant number, since it is smaller than the sum of its proper divisors (2801211398404).

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

2007587114240 is an equidigital number, since it uses as much as digits as its factorization.

2007587114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568427454 (or 1568427440 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 41.

The spelling of 2007587114240 in words is "two trillion, seven billion, five hundred eighty-seven million, one hundred fourteen thousand, two hundred forty".