2722348440 has 224 divisors, whose sum is σ = 10496472480. Its totient is φ = 622204416.

The previous prime is 2722348423. The next prime is 2722348451. The reversal of 2722348440 is 448432272.

2722348440 is a `hidden beast` number, since 272 + 2 + 348 + 4 + 40 = 666.

It is a super-2 number, since 2×2722348440² = 14822362057540867200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2722348395 and 2722348404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 197452 + ... + 210788.

Almost surely, 2^2722348440 is an apocalyptic number.

2722348440 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 2722348440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248236240).

2722348440 is an abundant number, since it is smaller than the sum of its proper divisors (7774124040).

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

2722348440 is a wasteful number, since it uses less digits than its factorization.

2722348440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13373 (or 13354 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 2722348440 is about 52176.1290246795. The cubic root of 2722348440 is about 1396.3080343128.

The spelling of 2722348440 in words is "two billion, seven hundred twenty-two million, three hundred forty-eight thousand, four hundred forty".