2849909975640 has 1024 divisors, whose sum is σ = 11929707417600. Its totient is φ = 589182418944.

The previous prime is 2849909975593. The next prime is 2849909975711. The reversal of 2849909975640 is 465799099482.

2849909975640 is a `hidden beast` number, since 2 + 8 + 499 + 0 + 9 + 9 + 75 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1169432502 + ... + 1169434938.

It is an arithmetic number, because the mean of its divisors is an integer number (11650104900).

Almost surely, 2^{2849909975640} is an apocalyptic number.

2849909975640 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 2849909975640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5964853708800).

2849909975640 is an abundant number, since it is smaller than the sum of its proper divisors (9079797441960).

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

2849909975640 is a wasteful number, since it uses less digits than its factorization.

2849909975640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 2849909975640 in words is "two trillion, eight hundred forty-nine billion, nine hundred nine million, nine hundred seventy-five thousand, six hundred forty".