2722207645440 has 216 divisors, whose sum is σ = 9426577069728. Its totient is φ = 725303746560.

The previous prime is 2722207645411. The next prime is 2722207645447. The reversal of 2722207645440 is 445467022272.

2722207645440 is a `hidden beast` number, since 2 + 7 + 22 + 20 + 7 + 64 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2722207645447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13505077 + ... + 13705163.

It is an arithmetic number, because the mean of its divisors is an integer number (43641560508).

Almost surely, 2^{2722207645440} is an apocalyptic number.

2722207645440 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 2722207645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713288534864).

2722207645440 is an abundant number, since it is smaller than the sum of its proper divisors (6704369424288).

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

2722207645440 is a wasteful number, since it uses less digits than its factorization.

2722207645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201295 (or 201278 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 45.

The spelling of 2722207645440 in words is "two trillion, seven hundred twenty-two billion, two hundred seven million, six hundred forty-five thousand, four hundred forty".