2413088841744 has 135 divisors (see below), whose sum is σ = 7856301212253. Its totient is φ = 689416672896.

The previous prime is 2413088841689. The next prime is 2413088841809. The reversal of 2413088841744 is 4471488803142.

It is a happy number.

The square root of 2413088841744 is 1553412.

It is a perfect power (a square), and thus also a powerful number.

2413088841744 is a `hidden beast` number, since 2 + 413 + 0 + 88 + 84 + 1 + 74 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 976657827600 + 1436431014144 = 988260^2 + 1198512^2 .

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 26 ways as a sum of consecutive naturals, for example, 130477362 + ... + 130495854.

Almost surely, 2^{2413088841744} is an apocalyptic number.

2413088841744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2413088841744 is the 1553412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2413088841744

2413088841744 is an abundant number, since it is smaller than the sum of its proper divisors (5443212370509).

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

2413088841744 is an frugal number, since it uses more digits than its factorization.

2413088841744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37014 (or 18505 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 2413088841744 in words is "two trillion, four hundred thirteen billion, eighty-eight million, eight hundred forty-one thousand, seven hundred forty-four".