2546133681 has 32 divisors (see below), whose sum is σ = 4195860480. Its totient is φ = 1337361984.

The previous prime is 2546133671. The next prime is 2546133701. The reversal of 2546133681 is 1863316452.

It is not a de Polignac number, because 2546133681 - 2²⁵ = 2512579249 is a prime.

It is a super-2 number, since 2×2546133681² = 12965593443045219522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2546133631) 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 31 ways as a sum of consecutive naturals, for example, 45736 + ... + 84758.

It is an arithmetic number, because the mean of its divisors is an integer number (131120640).

Almost surely, 2^2546133681 is an apocalyptic number.

2546133681 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2546133681 is a deficient number, since it is larger than the sum of its proper divisors (1649726799).

2546133681 is a wasteful number, since it uses less digits than its factorization.

2546133681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39285.

The product of its digits is 103680, while the sum is 39.

The square root of 2546133681 is about 50459.2279072916. The cubic root of 2546133681 is about 1365.5063811085.

The spelling of 2546133681 in words is "two billion, five hundred forty-six million, one hundred thirty-three thousand, six hundred eighty-one".