2884040640 has 448 divisors, whose sum is σ = 11127150720. Its totient is φ = 707678208.

The previous prime is 2884040617. The next prime is 2884040651. The reversal of 2884040640 is 460404882.

2884040640 is a `hidden beast` number, since 2 + 8 + 8 + 4 + 0 + 4 + 0 + 640 = 666.

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 = 2884040595 and 2884040604.

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 63 ways as a sum of consecutive naturals, for example, 9097762 + ... + 9098078.

It is an arithmetic number, because the mean of its divisors is an integer number (24837390).

Almost surely, 2^2884040640 is an apocalyptic number.

2884040640 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 2884040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5563575360).

2884040640 is an abundant number, since it is smaller than the sum of its proper divisors (8243110080).

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

2884040640 is an equidigital number, since it uses as much as digits as its factorization.

2884040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2884040640 is about 53703.2647052300. The cubic root of 2884040640 is about 1423.4223870382.

The spelling of 2884040640 in words is "two billion, eight hundred eighty-four million, forty thousand, six hundred forty".