2269312381440 has 1440 divisors, whose sum is σ = 9268398659520. Its totient is φ = 528232513536.

The previous prime is 2269312381423. The next prime is 2269312381447. The reversal of 2269312381440 is 441832139622.

2269312381440 is a `hidden beast` number, since 2 + 2 + 6 + 9 + 3 + 123 + 81 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2269312381447) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4148651247 + ... + 4148651793.

It is an arithmetic number, because the mean of its divisors is an integer number (6436387958).

Almost surely, 2^{2269312381440} is an apocalyptic number.

2269312381440 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 2269312381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4634199329760).

2269312381440 is an abundant number, since it is smaller than the sum of its proper divisors (6999086278080).

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

2269312381440 is an frugal number, since it uses more digits than its factorization.

2269312381440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2269312381440 in words is "two trillion, two hundred sixty-nine billion, three hundred twelve million, three hundred eighty-one thousand, four hundred forty".