2840964840 has 320 divisors, whose sum is σ = 10980604800. Its totient is φ = 645345792.

The previous prime is 2840964839. The next prime is 2840964851. The reversal of 2840964840 is 484690482.

2840964840 is a `hidden beast` number, since 2 + 84 + 0 + 96 + 484 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5193447 + ... + 5193993.

It is an arithmetic number, because the mean of its divisors is an integer number (34314390).

Almost surely, 2^2840964840 is an apocalyptic number.

2840964840 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 2840964840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490302400).

2840964840 is an abundant number, since it is smaller than the sum of its proper divisors (8139639960).

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

2840964840 is a wasteful number, since it uses less digits than its factorization.

2840964840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2840964840 is about 53300.7020591662. The cubic root of 2840964840 is about 1416.3001015756.

The spelling of 2840964840 in words is "two billion, eight hundred forty million, nine hundred sixty-four thousand, eight hundred forty".