2643004535824 has 135 divisors (see below), whose sum is σ = 5499655070077. Its totient is φ = 1230353977600.

The previous prime is 2643004535797. The next prime is 2643004535837. The reversal of 2643004535824 is 4285354003462.

The square root of 2643004535824 is 1625732.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 127354769424 + 2515649766400 = 356868^2 + 1586080^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6132260889 + ... + 6132261319.

Almost surely, 2^{2643004535824} is an apocalyptic number.

2643004535824 is the 1625732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2643004535824

2643004535824 is an abundant number, since it is smaller than the sum of its proper divisors (2856650534253).

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

2643004535824 is an frugal number, since it uses more digits than its factorization.

2643004535824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 46.

The spelling of 2643004535824 in words is "two trillion, six hundred forty-three billion, four million, five hundred thirty-five thousand, eight hundred twenty-four".