2543464440 has 192 divisors, whose sum is σ = 9309081600. Its totient is φ = 596678400.

The previous prime is 2543464423. The next prime is 2543464447. The reversal of 2543464440 is 444643452.

2543464440 is a `hidden beast` number, since 2 + 5 + 4 + 3 + 4 + 644 + 4 + 0 = 666.

It is a super-2 number, since 2×2543464440² = 12938422715089027200, 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 = 2543464395 and 2543464404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2543464447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112401 + ... + 133119.

It is an arithmetic number, because the mean of its divisors is an integer number (48484800).

Almost surely, 2^2543464440 is an apocalyptic number.

2543464440 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 2543464440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654540800).

2543464440 is an abundant number, since it is smaller than the sum of its proper divisors (6765617160).

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

2543464440 is a wasteful number, since it uses less digits than its factorization.

2543464440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20778 (or 20771 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The square root of 2543464440 is about 50432.7714883884. The cubic root of 2543464440 is about 1365.0290377432.

The spelling of 2543464440 in words is "two billion, five hundred forty-three million, four hundred sixty-four thousand, four hundred forty".