2853978624 has 480 divisors, whose sum is σ = 10188097920. Its totient is φ = 780337152.

The previous prime is 2853978593. The next prime is 2853978641. The reversal of 2853978624 is 4268793582.

2853978624 is a `hidden beast` number, since 2 + 8 + 5 + 3 + 9 + 7 + 8 + 624 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25256392 + ... + 25256504.

It is an arithmetic number, because the mean of its divisors is an integer number (21225204).

It is a vampire number, since it can be written as 32256 ⋅ 88479 (with its own digits).

Almost surely, 2^2853978624 is an apocalyptic number.

2853978624 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 2853978624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094048960).

2853978624 is an abundant number, since it is smaller than the sum of its proper divisors (7334119296).

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

2853978624 is an equidigital number, since it uses as much as digits as its factorization.

2853978624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 154 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 2853978624 is about 53422.6414921614. The cubic root of 2853978624 is about 1418.4593857998.

The spelling of 2853978624 in words is "two billion, eight hundred fifty-three million, nine hundred seventy-eight thousand, six hundred twenty-four".