2245054114240 has 224 divisors, whose sum is σ = 6473835688320. Its totient is φ = 723929923584.

The previous prime is 2245054114231. The next prime is 2245054114319. The reversal of 2245054114240 is 424114505422.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 2245054114196 and 2245054114205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54395692 + ... + 54436948.

It is an arithmetic number, because the mean of its divisors is an integer number (28901052180).

Almost surely, 2^{2245054114240} is an apocalyptic number.

2245054114240 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 2245054114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236917844160).

2245054114240 is an abundant number, since it is smaller than the sum of its proper divisors (4228781574080).

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

2245054114240 is a wasteful number, since it uses less digits than its factorization.

2245054114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42727 (or 42717 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

Adding to 2245054114240 its reverse (424114505422), we get a palindrome (2669168619662).

The spelling of 2245054114240 in words is "two trillion, two hundred forty-five billion, fifty-four million, one hundred fourteen thousand, two hundred forty".