2546542440 has 96 divisors (see below), whose sum is σ = 8912914920. Its totient is φ = 626840064.

The previous prime is 2546542423. The next prime is 2546542441. The reversal of 2546542440 is 442456452.

2546542440 is a `hidden beast` number, since 2 + 546 + 54 + 24 + 40 = 666.

2546542440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1519596324 + 1026946116 = 38982^2 + 32046^2 .

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 = 2546542395 and 2546542404.

It is not an unprimeable number, because it can be changed into a prime (2546542441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267387 + ... + 276746.

Almost surely, 2^2546542440 is an apocalyptic number.

2546542440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2546542440 is an abundant number, since it is smaller than the sum of its proper divisors (6366372480).

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

2546542440 is a wasteful number, since it uses less digits than its factorization.

2546542440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544163 (or 544156 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The square root of 2546542440 is about 50463.2781337083. The cubic root of 2546542440 is about 1365.5794504791.

Adding to 2546542440 its reverse (442456452), we get a palindrome (2988998892).

The spelling of 2546542440 in words is "two billion, five hundred forty-six million, five hundred forty-two thousand, four hundred forty".