2546742627 has 80 divisors (see below), whose sum is σ = 4499399520. Its totient is φ = 1423656000.

The previous prime is 2546742617. The next prime is 2546742661. The reversal of 2546742627 is 7262476452.

It is a happy number.

2546742627 is a `hidden beast` number, since 2 + 546 + 7 + 42 + 62 + 7 = 666.

It is not a de Polignac number, because 2546742627 - 2²³ = 2538354019 is a prime.

It is a super-2 number, since 2×2546742627² = 12971796016357722258, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2546742617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1956877 + ... + 1958177.

It is an arithmetic number, because the mean of its divisors is an integer number (56242494).

Almost surely, 2^2546742627 is an apocalyptic number.

2546742627 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2546742627 is a deficient number, since it is larger than the sum of its proper divisors (1952656893).

2546742627 is a wasteful number, since it uses less digits than its factorization.

2546742627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1328 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The square root of 2546742627 is about 50465.2615865607. The cubic root of 2546742627 is about 1365.6152328646.

The spelling of 2546742627 in words is "two billion, five hundred forty-six million, seven hundred forty-two thousand, six hundred twenty-seven".