2640487447584 has 288 divisors, whose sum is σ = 9206302734720. Its totient is φ = 728409894912.

The previous prime is 2640487447573. The next prime is 2640487447627. The reversal of 2640487447584 is 4857447840462.

2640487447584 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 4 + 8 + 7 + 4 + 47 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×2640487447584⁴ (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 742152 + ... + 2414904.

It is an arithmetic number, because the mean of its divisors is an integer number (31966328940).

Almost surely, 2^{2640487447584} is an apocalyptic number.

2640487447584 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 2640487447584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4603151367360).

2640487447584 is an abundant number, since it is smaller than the sum of its proper divisors (6565815287136).

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

2640487447584 is a wasteful number, since it uses less digits than its factorization.

2640487447584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672814 (or 1672794 counting only the distinct ones).

The product of its (nonzero) digits is 192675840, while the sum is 63.

The spelling of 2640487447584 in words is "two trillion, six hundred forty billion, four hundred eighty-seven million, four hundred forty-seven thousand, five hundred eighty-four".