2722266894240 has 288 divisors, whose sum is σ = 10353886845120. Its totient is φ = 647275732992.

The previous prime is 2722266894239. The next prime is 2722266894241. The reversal of 2722266894240 is 424986622272.

2722266894240 is a `hidden beast` number, since 272 + 2 + 266 + 8 + 94 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2722266894239) and next prime (2722266894241).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2722266894241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2461294 + ... + 3391533.

It is an arithmetic number, because the mean of its divisors is an integer number (35950995990).

Almost surely, 2^{2722266894240} is an apocalyptic number.

2722266894240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2722266894240 is an abundant number, since it is smaller than the sum of its proper divisors (7631619950880).

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

2722266894240 is a wasteful number, since it uses less digits than its factorization.

2722266894240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5852884 (or 5852873 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 2722266894240 in words is "two trillion, seven hundred twenty-two billion, two hundred sixty-six million, eight hundred ninety-four thousand, two hundred forty".