2544772512 has 72 divisors (see below), whose sum is σ = 6831252288. Its totient is φ = 829104000.

The previous prime is 2544772511. The next prime is 2544772513. The reversal of 2544772512 is 2152774452.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2544772511) and next prime (2544772513).

It is not an unprimeable number, because it can be changed into a prime (2544772511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3388137 + ... + 3388887.

It is an arithmetic number, because the mean of its divisors is an integer number (94878504).

Almost surely, 2^2544772512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2544772512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3415626144).

2544772512 is an abundant number, since it is smaller than the sum of its proper divisors (4286479776).

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

2544772512 is an frugal number, since it uses more digits than its factorization.

2544772512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 803 counting only the distinct ones).

The product of its digits is 156800, while the sum is 39.

The square root of 2544772512 is about 50445.7382937350. The cubic root of 2544772512 is about 1365.2630034353.

The spelling of 2544772512 in words is "two billion, five hundred forty-four million, seven hundred seventy-two thousand, five hundred twelve".