2849270400 has 576 divisors, whose sum is σ = 11049292800. Its totient is φ = 696729600.

The previous prime is 2849270393. The next prime is 2849270401. The reversal of 2849270400 is 40729482.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2849270401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22435137 + ... + 22435263.

It is an arithmetic number, because the mean of its divisors is an integer number (19182800).

Almost surely, 2^2849270400 is an apocalyptic number.

2849270400 is a gapful number since it is divisible by the number (20) 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 2849270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524646400).

2849270400 is an abundant number, since it is smaller than the sum of its proper divisors (8200022400).

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

2849270400 is a wasteful number, since it uses less digits than its factorization.

2849270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2849270400 is about 53378.5574926861. The cubic root of 2849270400 is about 1417.6789430973.

Adding to 2849270400 its reverse (40729482), we get a palindrome (2889999882).

The spelling of 2849270400 in words is "two billion, eight hundred forty-nine million, two hundred seventy thousand, four hundred".