2546385984 has 70 divisors (see below), whose sum is σ = 7548301134. Its totient is φ = 848793600.

The previous prime is 2546385887. The next prime is 2546386039. The reversal of 2546385984 is 4895836452.

2546385984 is a `hidden beast` number, since 2 + 5 + 46 + 3 + 8 + 598 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2368963584 + 177422400 = 48672^2 + 13320^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2546385984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 240417 + ... + 250784.

Almost surely, 2^2546385984 is an apocalyptic number.

2546385984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2546385984 is an abundant number, since it is smaller than the sum of its proper divisors (5001915150).

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

2546385984 is an equidigital number, since it uses as much as digits as its factorization.

2546385984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491225 (or 491206 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The square root of 2546385984 is about 50461.7279133404. The cubic root of 2546385984 is about 1365.5514834768.

The spelling of 2546385984 in words is "two billion, five hundred forty-six million, three hundred eighty-five thousand, nine hundred eighty-four".