2722358672 has 60 divisors (see below), whose sum is σ = 5939247468. Its totient is φ = 1207219200.

The previous prime is 2722358599. The next prime is 2722358689. The reversal of 2722358672 is 2768532272.

It can be written as a sum of positive squares in 2 ways, for example, as 1353062656 + 1369296016 = 36784^2 + 37004^2 .

It is a super-2 number, since 2×2722358672² = 14822473478027207168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 62228 + ... + 96524.

Almost surely, 2^2722358672 is an apocalyptic number.

2722358672 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 2722358672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969623734).

2722358672 is an abundant number, since it is smaller than the sum of its proper divisors (3216888796).

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

2722358672 is a wasteful number, since it uses less digits than its factorization.

2722358672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34368 (or 34351 counting only the distinct ones).

The product of its digits is 564480, while the sum is 44.

The square root of 2722358672 is about 52176.2270770894. The cubic root of 2722358672 is about 1396.3097836610.

The spelling of 2722358672 in words is "two billion, seven hundred twenty-two million, three hundred fifty-eight thousand, six hundred seventy-two".