2841827040 has 576 divisors, whose sum is σ = 11095418880. Its totient is φ = 657469440.

The previous prime is 2841827039. The next prime is 2841827159. The reversal of 2841827040 is 407281482.

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 = 2841826986 and 2841827004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34238839 + ... + 34238921.

It is an arithmetic number, because the mean of its divisors is an integer number (19262880).

Almost surely, 2^2841827040 is an apocalyptic number.

2841827040 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 2841827040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5547709440).

2841827040 is an abundant number, since it is smaller than the sum of its proper divisors (8253591840).

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

2841827040 is a wasteful number, since it uses less digits than its factorization.

2841827040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2841827040 is about 53308.7895191778. The cubic root of 2841827040 is about 1416.4433639886.

The spelling of 2841827040 in words is "two billion, eight hundred forty-one million, eight hundred twenty-seven thousand, forty".