2355760506640 has 20 divisors (see below), whose sum is σ = 5477143178124. Its totient is φ = 942304202624.

The previous prime is 2355760506607. The next prime is 2355760506647. The reversal of 2355760506640 is 466050675532.

It can be written as a sum of positive squares in 2 ways, for example, as 1609762087696 + 745998418944 = 1268764^2 + 863712^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (2355760506647) by changing a digit.

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, 14723503087 + ... + 14723503246.

Almost surely, 2^{2355760506640} is an apocalyptic number.

2355760506640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2355760506640 is an abundant number, since it is smaller than the sum of its proper divisors (3121382671484).

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

2355760506640 is a wasteful number, since it uses less digits than its factorization.

2355760506640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29447006346 (or 29447006340 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 49.

The spelling of 2355760506640 in words is "two trillion, three hundred fifty-five billion, seven hundred sixty million, five hundred six thousand, six hundred forty".