2722950720 has 336 divisors, whose sum is σ = 11051609088. Its totient is φ = 602173440.

The previous prime is 2722950709. The next prime is 2722950721. The reversal of 2722950720 is 270592272.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (2722950721) 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 47 ways as a sum of consecutive naturals, for example, 622782 + ... + 627138.

Almost surely, 2^2722950720 is an apocalyptic number.

2722950720 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 2722950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5525804544).

2722950720 is an abundant number, since it is smaller than the sum of its proper divisors (8328658368).

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

2722950720 is a wasteful number, since it uses less digits than its factorization.

2722950720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4418 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 2722950720 is about 52181.9003103567. The cubic root of 2722950720 is about 1396.4109976686.

The spelling of 2722950720 in words is "two billion, seven hundred twenty-two million, nine hundred fifty thousand, seven hundred twenty".