2984232960 has 144 divisors (see below), whose sum is σ = 10343134620. Its totient is φ = 795770880.

The previous prime is 2984232943. The next prime is 2984232983. The reversal of 2984232960 is 692324892.

It can be written as a sum of positive squares in 2 ways, for example, as 2983781376 + 451584 = 54624^2 + 672^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75970 + ... + 108350.

Almost surely, 2^2984232960 is an apocalyptic number.

2984232960 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 2984232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171567310).

2984232960 is an abundant number, since it is smaller than the sum of its proper divisors (7358901660).

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

2984232960 is a wasteful number, since it uses less digits than its factorization.

2984232960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32414 (or 32391 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2984232960 is about 54628.1334112745. The cubic root of 2984232960 is about 1439.7184634785.

The spelling of 2984232960 in words is "two billion, nine hundred eighty-four million, two hundred thirty-two thousand, nine hundred sixty".