2484953856 has 864 divisors, whose sum is σ = 10066291200. Its totient is φ = 596090880.

The previous prime is 2484953839. The next prime is 2484953881. The reversal of 2484953856 is 6583594842.

2484953856 is a `hidden beast` number, since 24 + 84 + 9 + 538 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8294400) is a multiple of the sum of its prime divisors (75).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85688050 + ... + 85688078.

It is an arithmetic number, because the mean of its divisors is an integer number (11650800).

Almost surely, 2^2484953856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2484953856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033145600).

2484953856 is an abundant number, since it is smaller than the sum of its proper divisors (7581337344).

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

2484953856 is a wasteful number, since it uses less digits than its factorization.

2484953856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 75 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The square root of 2484953856 is about 49849.3114897287. The cubic root of 2484953856 is about 1354.4805597835.

The spelling of 2484953856 in words is "two billion, four hundred eighty-four million, nine hundred fifty-three thousand, eight hundred fifty-six".