2547140064 has 144 divisors (see below), whose sum is σ = 7915759488. Its totient is φ = 702503424.

The previous prime is 2547140059. The next prime is 2547140147. The reversal of 2547140064 is 4600417452.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 562899 + ... + 567405.

It is an arithmetic number, because the mean of its divisors is an integer number (54970552).

Almost surely, 2^2547140064 is an apocalyptic number.

2547140064 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 2547140064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957879744).

2547140064 is an abundant number, since it is smaller than the sum of its proper divisors (5368619424).

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

2547140064 is a wasteful number, since it uses less digits than its factorization.

2547140064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4585 (or 4548 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 2547140064 is about 50469.1991614688. The cubic root of 2547140064 is about 1365.6862671059.

The spelling of 2547140064 in words is "two billion, five hundred forty-seven million, one hundred forty thousand, sixty-four".