2547968640 has 512 divisors, whose sum is σ = 9782208000. Its totient is φ = 563576832.

The previous prime is 2547968627. The next prime is 2547968641. The reversal of 2547968640 is 468697452.

It is not an unprimeable number, because it can be changed into a prime (2547968641) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 34903644 + ... + 34903716.

It is an arithmetic number, because the mean of its divisors is an integer number (19105875).

Almost surely, 2^2547968640 is an apocalyptic number.

2547968640 is a gapful number since it is divisible by the number (20) 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 2547968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4891104000).

2547968640 is an abundant number, since it is smaller than the sum of its proper divisors (7234239360).

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

2547968640 is an equidigital number, since it uses as much as digits as its factorization.

2547968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The square root of 2547968640 is about 50477.4072234302. The cubic root of 2547968640 is about 1365.8343354177.

The spelling of 2547968640 in words is "two billion, five hundred forty-seven million, nine hundred sixty-eight thousand, six hundred forty".