2245201044240 has 320 divisors, whose sum is σ = 8696914790400. Its totient is φ = 465494507520.

The previous prime is 2245201044223. The next prime is 2245201044259. The reversal of 2245201044240 is 424401025422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2245201044198 and 2245201044207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8162227 + ... + 8432813.

It is an arithmetic number, because the mean of its divisors is an integer number (27177858720).

Almost surely, 2^{2245201044240} is an apocalyptic number.

2245201044240 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 2245201044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348457395200).

2245201044240 is an abundant number, since it is smaller than the sum of its proper divisors (6451713746160).

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

2245201044240 is a wasteful number, since it uses less digits than its factorization.

2245201044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271070 (or 271064 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 2245201044240 its reverse (424401025422), we get a palindrome (2669602069662).

The spelling of 2245201044240 in words is "two trillion, two hundred forty-five billion, two hundred one million, forty-four thousand, two hundred forty".