2254140163440 has 1280 divisors, whose sum is σ = 8969597337600. Its totient is φ = 515414016000.

The previous prime is 2254140163421. The next prime is 2254140163441. The reversal of 2254140163440 is 443610414522.

2254140163440 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 14 + 0 + 1 + 634 + 4 + 0 = 666.

It is a super-2 number, since 2×2254140163440² (a number of 26 digits) contains 22 as substring.

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 = 2254140163395 and 2254140163404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254140163441) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4705929121 + ... + 4705929599.

It is an arithmetic number, because the mean of its divisors is an integer number (7007497920).

Almost surely, 2^{2254140163440} is an apocalyptic number.

2254140163440 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 2254140163440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4484798668800).

2254140163440 is an abundant number, since it is smaller than the sum of its proper divisors (6715457174160).

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

2254140163440 is a wasteful number, since it uses less digits than its factorization.

2254140163440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 2254140163440 its reverse (443610414522), we get a palindrome (2697750577962).

The spelling of 2254140163440 in words is "two trillion, two hundred fifty-four billion, one hundred forty million, one hundred sixty-three thousand, four hundred forty".