2484465984 has 672 divisors, whose sum is σ = 9940869120. Its totient is φ = 572313600.

The previous prime is 2484465979. The next prime is 2484466007. The reversal of 2484465984 is 4895644842.

It is a happy number.

2484465984 is a `hidden beast` number, since 2 + 4 + 8 + 4 + 46 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 2484465984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17873787 + ... + 17873925.

It is an arithmetic number, because the mean of its divisors is an integer number (14792960).

Almost surely, 2^2484465984 is an apocalyptic number.

2484465984 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 2484465984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4970434560).

2484465984 is an abundant number, since it is smaller than the sum of its proper divisors (7456403136).

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

2484465984 is a wasteful number, since it uses less digits than its factorization.

2484465984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 206 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The square root of 2484465984 is about 49844.4177817336. The cubic root of 2484465984 is about 1354.3919120756.

The spelling of 2484465984 in words is "two billion, four hundred eighty-four million, four hundred sixty-five thousand, nine hundred eighty-four".