2268144815040 has 784 divisors, whose sum is σ = 8906842240128. Its totient is φ = 546399240192.

The previous prime is 2268144815021. The next prime is 2268144815089. The reversal of 2268144815040 is 405184418622.

2268144815040 is a `hidden beast` number, since 2 + 2 + 6 + 81 + 4 + 481 + 50 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 111 ways as a sum of consecutive naturals, for example, 142526124 + ... + 142542036.

Almost surely, 2^{2268144815040} is an apocalyptic number.

2268144815040 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 2268144815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4453421120064).

2268144815040 is an abundant number, since it is smaller than the sum of its proper divisors (6638697425088).

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

2268144815040 is a wasteful number, since it uses less digits than its factorization.

2268144815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16008 (or 15983 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 2268144815040 in words is "two trillion, two hundred sixty-eight billion, one hundred forty-four million, eight hundred fifteen thousand, forty".