2841315840 has 640 divisors, whose sum is σ = 11419626240. Its totient is φ = 663552000.

The previous prime is 2841315823. The next prime is 2841315853. The reversal of 2841315840 is 485131482.

2841315840 is a `hidden beast` number, since 2 + 8 + 41 + 31 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 2841315795 and 2841315804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28131790 + ... + 28131890.

It is an arithmetic number, because the mean of its divisors is an integer number (17843166).

Almost surely, 2^2841315840 is an apocalyptic number.

2841315840 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 2841315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5709813120).

2841315840 is an abundant number, since it is smaller than the sum of its proper divisors (8578310400).

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

2841315840 is a wasteful number, since it uses less digits than its factorization.

2841315840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2841315840 is about 53303.9945970281. The cubic root of 2841315840 is about 1416.3584269324.

It can be divided in two parts, 28413 and 15840, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 2841315840 in words is "two billion, eight hundred forty-one million, three hundred fifteen thousand, eight hundred forty".