2722050240 has 224 divisors, whose sum is σ = 10637276160. Its totient is φ = 574304256.

The previous prime is 2722050223. The next prime is 2722050241. The reversal of 2722050240 is 420502272.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2722050240.

It is not an unprimeable number, because it can be changed into a prime (2722050241) 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 31 ways as a sum of consecutive naturals, for example, 71781 + ... + 102939.

It is an arithmetic number, because the mean of its divisors is an integer number (47487840).

Almost surely, 2^2722050240 is an apocalyptic number.

2722050240 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 2722050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5318638080).

2722050240 is an abundant number, since it is smaller than the sum of its proper divisors (7915225920).

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

2722050240 is a wasteful number, since it uses less digits than its factorization.

2722050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31199 (or 31189 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 2722050240 is about 52173.2713177926. The cubic root of 2722050240 is about 1396.2570496245.

The spelling of 2722050240 in words is "two billion, seven hundred twenty-two million, fifty thousand, two hundred forty".