2664140471424 has 160 divisors (see below), whose sum is σ = 7948222945740. Its totient is φ = 885830860800.

The previous prime is 2664140471413. The next prime is 2664140471533. The reversal of 2664140471424 is 4241740414662.

2664140471424 is a `hidden beast` number, since 2 + 66 + 41 + 40 + 471 + 42 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2112139022400 + 552001449024 = 1453320^2 + 742968^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2664140471424.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3837172 + ... + 4477964.

Almost surely, 2^{2664140471424} is an apocalyptic number.

2664140471424 is a gapful number since it is divisible by the number (24) 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 2664140471424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974111472870).

2664140471424 is an abundant number, since it is smaller than the sum of its proper divisors (5284082474316).

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

2664140471424 is an equidigital number, since it uses as much as digits as its factorization.

2664140471424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641220 (or 641199 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 2664140471424 in words is "two trillion, six hundred sixty-four billion, one hundred forty million, four hundred seventy-one thousand, four hundred twenty-four".