2543511264 has 48 divisors (see below), whose sum is σ = 7630535808. Its totient is φ = 726717312.

The previous prime is 2543511263. The next prime is 2543511293. The reversal of 2543511264 is 4621153452.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2543511263) 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 7 ways as a sum of consecutive naturals, for example, 1891822 + ... + 1893165.

It is an arithmetic number, because the mean of its divisors is an integer number (158969496).

Almost surely, 2^2543511264 is an apocalyptic number.

2543511264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2543511264 is an abundant number, since it is smaller than the sum of its proper divisors (5087024544).

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

2543511264 is a wasteful number, since it uses less digits than its factorization.

2543511264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785007 (or 3784999 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 2543511264 is about 50433.2357082113. The cubic root of 2543511264 is about 1365.0374142088.

The spelling of 2543511264 in words is "two billion, five hundred forty-three million, five hundred eleven thousand, two hundred sixty-four".