2838730752 has 384 divisors, whose sum is σ = 9906624000. Its totient is φ = 791838720.

The previous prime is 2838730747. The next prime is 2838730757. The reversal of 2838730752 is 2570378382.

It is an interprime number because it is at equal distance from previous prime (2838730747) and next prime (2838730757).

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 2838730698 and 2838730707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2838730757) 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, 7907149 + ... + 7907507.

It is an arithmetic number, because the mean of its divisors is an integer number (25798500).

Almost surely, 2^2838730752 is an apocalyptic number.

2838730752 is a gapful number since it is divisible by the number (22) 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 2838730752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312000).

2838730752 is an abundant number, since it is smaller than the sum of its proper divisors (7067893248).

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

2838730752 is a wasteful number, since it uses less digits than its factorization.

2838730752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2838730752 is about 53279.7405399088. The cubic root of 2838730752 is about 1415.9287525197.

The spelling of 2838730752 in words is "two billion, eight hundred thirty-eight million, seven hundred thirty thousand, seven hundred fifty-two".