2722849536 has 288 divisors, whose sum is σ = 8410945536. Its totient is φ = 774144000.

The previous prime is 2722849531. The next prime is 2722849553. The reversal of 2722849536 is 6359482272.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2722849531) 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, 9689716 + ... + 9689996.

It is an arithmetic number, because the mean of its divisors is an integer number (29204672).

Almost surely, 2^2722849536 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 2722849536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4205472768).

2722849536 is an abundant number, since it is smaller than the sum of its proper divisors (5688096000).

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

2722849536 is a wasteful number, since it uses less digits than its factorization.

2722849536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 365 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 2722849536 is about 52180.9307697745. The cubic root of 2722849536 is about 1396.3937007219.

It can be divided in two parts, 2722 and 849536, that added together give a palindrome (852258).

The spelling of 2722849536 in words is "two billion, seven hundred twenty-two million, eight hundred forty-nine thousand, five hundred thirty-six".