2546106552 has 96 divisors (see below), whose sum is σ = 7918560000. Its totient is φ = 730935360.

The previous prime is 2546106527. The next prime is 2546106553. The reversal of 2546106552 is 2556016452.

2546106552 is a `hidden beast` number, since 2 + 546 + 1 + 0 + 65 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2546106553) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 69552 + ... + 99647.

It is an arithmetic number, because the mean of its divisors is an integer number (82485000).

Almost surely, 2^2546106552 is an apocalyptic number.

2546106552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2546106552 is an abundant number, since it is smaller than the sum of its proper divisors (5372453448).

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

2546106552 is a wasteful number, since it uses less digits than its factorization.

2546106552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169241 (or 169234 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2546106552 is about 50458.9590855777. The cubic root of 2546106552 is about 1365.5015312775.

It can be divided in two parts, 254610 and 6552, that added together give a palindrome (261162).

The spelling of 2546106552 in words is "two billion, five hundred forty-six million, one hundred six thousand, five hundred fifty-two".