2213552511440 has 40 divisors (see below), whose sum is σ = 5417378518560. Its totient is φ = 838819898496.

The previous prime is 2213552511427. The next prime is 2213552511449. The reversal of 2213552511440 is 441152553122.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 2213552511440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213552511449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 728140754 + ... + 728143793.

It is an arithmetic number, because the mean of its divisors is an integer number (135434462964).

Almost surely, 2^{2213552511440} is an apocalyptic number.

2213552511440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213552511440 is an abundant number, since it is smaller than the sum of its proper divisors (3203826007120).

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

2213552511440 is a wasteful number, since it uses less digits than its factorization.

2213552511440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456284579 (or 1456284573 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 2213552511440 in words is "two trillion, two hundred thirteen billion, five hundred fifty-two million, five hundred eleven thousand, four hundred forty".