2543997456 has 800 divisors, whose sum is σ = 10344837888. Its totient is φ = 582266880.

The previous prime is 2543997431. The next prime is 2543997473. The reversal of 2543997456 is 6547993452.

2543997456 is a `hidden beast` number, since 2 + 543 + 9 + 97 + 4 + 5 + 6 = 666.

It is a super-2 number, since 2×2543997456² = 12943846112268943872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8164800) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 47999926 + ... + 47999978.

Almost surely, 2^2543997456 is an apocalyptic number.

2543997456 is a gapful number since it is divisible by the number (26) 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 2543997456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5172418944).

2543997456 is an abundant number, since it is smaller than the sum of its proper divisors (7800840432).

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

2543997456 is a wasteful number, since it uses less digits than its factorization.

2543997456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The square root of 2543997456 is about 50438.0556326272. The cubic root of 2543997456 is about 1365.1243842697.

It can be divided in two parts, 2543 and 997456, that added together give a palindrome (999999).

The spelling of 2543997456 in words is "two billion, five hundred forty-three million, nine hundred ninety-seven thousand, four hundred fifty-six".