2883464640 has 336 divisors, whose sum is σ = 11397447360. Its totient is φ = 655441920.

The previous prime is 2883464593. The next prime is 2883464653. The reversal of 2883464640 is 464643882.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 5664706 + ... + 5665214.

Almost surely, 2^2883464640 is an apocalyptic number.

2883464640 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 2883464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5698723680).

2883464640 is an abundant number, since it is smaller than the sum of its proper divisors (8513982720).

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

2883464640 is a wasteful number, since it uses less digits than its factorization.

2883464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 2883464640 is about 53697.9016349801. The cubic root of 2883464640 is about 1423.3276188540.

The spelling of 2883464640 in words is "two billion, eight hundred eighty-three million, four hundred sixty-four thousand, six hundred forty".