2849243040 has 864 divisors, whose sum is σ = 12581412480. Its totient is φ = 595703808.

The previous prime is 2849243039. The next prime is 2849243051. The reversal of 2849243040 is 403429482.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2849242986 and 2849243004.

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, 98249746 + ... + 98249774.

It is an arithmetic number, because the mean of its divisors is an integer number (14561820).

Almost surely, 2^2849243040 is an apocalyptic number.

2849243040 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 2849243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6290706240).

2849243040 is an abundant number, since it is smaller than the sum of its proper divisors (9732169440).

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

2849243040 is a wasteful number, since it uses less digits than its factorization.

2849243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2849243040 is about 53378.3012093866. The cubic root of 2849243040 is about 1417.6744053485.

The spelling of 2849243040 in words is "two billion, eight hundred forty-nine million, two hundred forty-three thousand, forty".