2840641920 has 256 divisors, whose sum is σ = 10297267200. Its totient is φ = 739694592.

The previous prime is 2840641897. The next prime is 2840641931. The reversal of 2840641920 is 291460482.

2840641920 is a `hidden beast` number, since 2 + 8 + 4 + 0 + 641 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×2840641920² = 16138493035322572800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 741129 + ... + 744951.

It is an arithmetic number, because the mean of its divisors is an integer number (40223700).

Almost surely, 2^2840641920 is an apocalyptic number.

2840641920 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 2840641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5148633600).

2840641920 is an abundant number, since it is smaller than the sum of its proper divisors (7456625280).

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

2840641920 is a wasteful number, since it uses less digits than its factorization.

2840641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2840641920 is about 53297.6727446893. The cubic root of 2840641920 is about 1416.2464380042.

The spelling of 2840641920 in words is "two billion, eight hundred forty million, six hundred forty-one thousand, nine hundred twenty".