2852730144 has 192 divisors, whose sum is σ = 9299525760. Its totient is φ = 843264000.

The previous prime is 2852730137. The next prime is 2852730149. The reversal of 2852730144 is 4410372582.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2852730099 and 2852730108.

It is not an unprimeable number, because it can be changed into a prime (2852730149) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 386004 + ... + 393324.

It is an arithmetic number, because the mean of its divisors is an integer number (48435030).

Almost surely, 2^2852730144 is an apocalyptic number.

2852730144 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 2852730144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4649762880).

2852730144 is an abundant number, since it is smaller than the sum of its proper divisors (6446795616).

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

2852730144 is a wasteful number, since it uses less digits than its factorization.

2852730144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7392 (or 7378 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2852730144 is about 53410.9552807287. The cubic root of 2852730144 is about 1418.2525194446.

The spelling of 2852730144 in words is "two billion, eight hundred fifty-two million, seven hundred thirty thousand, one hundred forty-four".