2849364080640 has 1728 divisors, whose sum is σ = 13195976976000. Its totient is φ = 560727982080.

The previous prime is 2849364080639. The next prime is 2849364080683. The reversal of 2849364080640 is 460804639482.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 943809051 + ... + 943812069.

It is an arithmetic number, because the mean of its divisors is an integer number (7636560750).

Almost surely, 2^{2849364080640} is an apocalyptic number.

2849364080640 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 2849364080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6597988488000).

2849364080640 is an abundant number, since it is smaller than the sum of its proper divisors (10346612895360).

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

2849364080640 is a wasteful number, since it uses less digits than its factorization.

2849364080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 2849364080640 in words is "two trillion, eight hundred forty-nine billion, three hundred sixty-four million, eighty thousand, six hundred forty".