2547254304 has 336 divisors, whose sum is σ = 9056335680. Its totient is φ = 688642560.

The previous prime is 2547254261. The next prime is 2547254317. The reversal of 2547254304 is 4034527452.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3102214 + ... + 3103034.

It is an arithmetic number, because the mean of its divisors is an integer number (26953380).

Almost surely, 2^2547254304 is an apocalyptic number.

2547254304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2547254304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528167840).

2547254304 is an abundant number, since it is smaller than the sum of its proper divisors (6509081376).

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

2547254304 is an equidigital number, since it uses as much as digits as its factorization.

2547254304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The square root of 2547254304 is about 50470.3309281800. The cubic root of 2547254304 is about 1365.7066839476.

The spelling of 2547254304 in words is "two billion, five hundred forty-seven million, two hundred fifty-four thousand, three hundred four".