2722235040 has 480 divisors, whose sum is σ = 11290333824. Its totient is φ = 604661760.

The previous prime is 2722235029. The next prime is 2722235071. The reversal of 2722235040 is 405322272.

2722235040 is a `hidden beast` number, since 272 + 2 + 2 + 350 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2722235040² = 14821127226007603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2722234995 and 2722235013.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3356235 + ... + 3357045.

Almost surely, 2^2722235040 is an apocalyptic number.

2722235040 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 2722235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5645166912).

2722235040 is an abundant number, since it is smaller than the sum of its proper divisors (8568098784).

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

2722235040 is a wasteful number, since it uses less digits than its factorization.

2722235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 2722235040 is about 52175.0423095181. The cubic root of 2722235040 is about 1396.2886462081.

The spelling of 2722235040 in words is "two billion, seven hundred twenty-two million, two hundred thirty-five thousand, forty".