2245735511440 has 80 divisors (see below), whose sum is σ = 5230263991680. Its totient is φ = 896758917120.

The previous prime is 2245735511417. The next prime is 2245735511491. The reversal of 2245735511440 is 441155375422.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274569271 + ... + 274577449.

It is an arithmetic number, because the mean of its divisors is an integer number (65378299896).

Almost surely, 2^{2245735511440} is an apocalyptic number.

2245735511440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2245735511440 is an abundant number, since it is smaller than the sum of its proper divisors (2984528480240).

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

2245735511440 is a wasteful number, since it uses less digits than its factorization.

2245735511440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13640 (or 13634 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 43.

The spelling of 2245735511440 in words is "two trillion, two hundred forty-five billion, seven hundred thirty-five million, five hundred eleven thousand, four hundred forty".