2471664130560 has 720 divisors, whose sum is σ = 9132489369432. Its totient is φ = 617663692800.

The previous prime is 2471664130547. The next prime is 2471664130643. The reversal of 2471664130560 is 650314661742.

2471664130560 is a `hidden beast` number, since 2 + 4 + 7 + 16 + 6 + 41 + 30 + 560 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1662614251776 + 809049878784 = 1289424^2 + 899472^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2471664130560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1871054700 + ... + 1871056020.

Almost surely, 2^{2471664130560} is an apocalyptic number.

2471664130560 is a gapful number since it is divisible by the number (20) 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 2471664130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566244684716).

2471664130560 is an abundant number, since it is smaller than the sum of its proper divisors (6660825238872).

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

2471664130560 is a wasteful number, since it uses less digits than its factorization.

2471664130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2471664130560 in words is "two trillion, four hundred seventy-one billion, six hundred sixty-four million, one hundred thirty thousand, five hundred sixty".