2163436627440 has 320 divisors, whose sum is σ = 7389414190080. Its totient is φ = 519242465280.

The previous prime is 2163436627421. The next prime is 2163436627447. The reversal of 2163436627440 is 447266343612.

It is a super-2 number, since 2×2163436627440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2163436627440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2163436627447) 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, 302194581 + ... + 302201739.

It is an arithmetic number, because the mean of its divisors is an integer number (23091919344).

Almost surely, 2^{2163436627440} is an apocalyptic number.

2163436627440 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 2163436627440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694707095040).

2163436627440 is an abundant number, since it is smaller than the sum of its proper divisors (5225977562640).

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

2163436627440 is a wasteful number, since it uses less digits than its factorization.

2163436627440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8312 (or 8306 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 48.

The spelling of 2163436627440 in words is "two trillion, one hundred sixty-three billion, four hundred thirty-six million, six hundred twenty-seven thousand, four hundred forty".