2546753328 has 60 divisors (see below), whose sum is σ = 8145571408. Its totient is φ = 727643520.

The previous prime is 2546753311. The next prime is 2546753347. The reversal of 2546753328 is 8233576452.

2546753328 is a `hidden beast` number, since 2 + 54 + 67 + 533 + 2 + 8 = 666.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1262263 + ... + 1264278.

Almost surely, 2^2546753328 is an apocalyptic number.

2546753328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2546753328 is an abundant number, since it is smaller than the sum of its proper divisors (5598818080).

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

2546753328 is a wasteful number, since it uses less digits than its factorization.

2546753328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526562 (or 2526553 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 2546753328 is about 50465.3676098768. The cubic root of 2546753328 is about 1365.6171455600.

The spelling of 2546753328 in words is "two billion, five hundred forty-six million, seven hundred fifty-three thousand, three hundred twenty-eight".