2566141344 has 192 divisors, whose sum is σ = 8233505280. Its totient is φ = 772623360.

The previous prime is 2566141307. The next prime is 2566141363. The reversal of 2566141344 is 4431416652.

2566141344 is a `hidden beast` number, since 2 + 5 + 6 + 614 + 1 + 34 + 4 = 666.

It is a super-2 number, since 2×2566141344² = 13170162794772252672, which 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 = 2566141299 and 2566141308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 525474 + ... + 530334.

It is an arithmetic number, because the mean of its divisors is an integer number (42882840).

Almost surely, 2^2566141344 is an apocalyptic number.

2566141344 is a gapful number since it is divisible by the number (24) 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 2566141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116752640).

2566141344 is an abundant number, since it is smaller than the sum of its proper divisors (5667363936).

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

2566141344 is a wasteful number, since it uses less digits than its factorization.

2566141344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4940 (or 4926 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2566141344 is about 50657.0956925089. The cubic root of 2566141344 is about 1369.0737952670.

Adding to 2566141344 its reverse (4431416652), we get a palindrome (6997557996).

The spelling of 2566141344 in words is "two billion, five hundred sixty-six million, one hundred forty-one thousand, three hundred forty-four".