2245304340540 has 192 divisors, whose sum is σ = 7354280102400. Its totient is φ = 567139387392.

The previous prime is 2245304340533. The next prime is 2245304340547. The reversal of 2245304340540 is 450434035422.

2245304340540 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 30 + 43 + 40 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (2245304340533) and next prime (2245304340547).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2245304340495 and 2245304340504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245304340547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76494147 + ... + 76523493.

It is an arithmetic number, because the mean of its divisors is an integer number (38303542200).

Almost surely, 2^{2245304340540} is an apocalyptic number.

2245304340540 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 2245304340540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677140051200).

2245304340540 is an abundant number, since it is smaller than the sum of its proper divisors (5108975761860).

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

2245304340540 is a wasteful number, since it uses less digits than its factorization.

2245304340540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36841 (or 36833 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 2245304340540 its reverse (450434035422), we get a palindrome (2695738375962).

The spelling of 2245304340540 in words is "two trillion, two hundred forty-five billion, three hundred four million, three hundred forty thousand, five hundred forty".