2831445984 has 96 divisors (see below), whose sum is σ = 7532300160. Its totient is φ = 931226112.

The previous prime is 2831445973. The next prime is 2831446003. The reversal of 2831445984 is 4895441382.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3831087 + ... + 3831825.

It is an arithmetic number, because the mean of its divisors is an integer number (78461460).

Almost surely, 2^2831445984 is an apocalyptic number.

2831445984 is a gapful number since it is divisible by the number (24) 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 2831445984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766150080).

2831445984 is an abundant number, since it is smaller than the sum of its proper divisors (4700854176).

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

2831445984 is a wasteful number, since it uses less digits than its factorization.

2831445984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1224 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 2831445984 is about 53211.3332289278. Note that the first 3 decimals coincide. The cubic root of 2831445984 is about 1414.7165266819.

The spelling of 2831445984 in words is "two billion, eight hundred thirty-one million, four hundred forty-five thousand, nine hundred eighty-four".