2644870613040 has 480 divisors, whose sum is σ = 9478874456064. Its totient is φ = 659462031360.

The previous prime is 2644870613039. The next prime is 2644870613113. The reversal of 2644870613040 is 403160784462.

2644870613040 is a `hidden beast` number, since 2 + 6 + 448 + 70 + 6 + 130 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164648049 + ... + 164664111.

Almost surely, 2^{2644870613040} is an apocalyptic number.

2644870613040 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 2644870613040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739437228032).

2644870613040 is an abundant number, since it is smaller than the sum of its proper divisors (6834003843024).

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

2644870613040 is a wasteful number, since it uses less digits than its factorization.

2644870613040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16329 (or 16320 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 2644870613040 in words is "two trillion, six hundred forty-four billion, eight hundred seventy million, six hundred thirteen thousand, forty".