2546790468801 has 8 divisors (see below), whose sum is σ = 3395731112544. Its totient is φ = 1697855068800.

The previous prime is 2546790468773. The next prime is 2546790468839. The reversal of 2546790468801 is 1088640976452.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2546790468801 - 2⁵ = 2546790468769 is a prime.

It is a super-2 number, since 2×2546790468801² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2546790468841) 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 7 ways as a sum of consecutive naturals, for example, 13470 + ... + 2256936.

It is an arithmetic number, because the mean of its divisors is an integer number (424466389068).

Almost surely, 2^{2546790468801} is an apocalyptic number.

It is an amenable number.

2546790468801 is a deficient number, since it is larger than the sum of its proper divisors (848940643743).

2546790468801 is a wasteful number, since it uses less digits than its factorization.

2546790468801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621871.

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 2546790468801 in words is "two trillion, five hundred forty-six billion, seven hundred ninety million, four hundred sixty-eight thousand, eight hundred one".