2643013173248 has 144 divisors (see below), whose sum is σ = 6153753604635. Its totient is φ = 1131837063168.

The previous prime is 2643013173233. The next prime is 2643013173263. The reversal of 2643013173248 is 8423713103462.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (2643013173233) and next prime (2643013173263).

It can be written as a sum of positive squares in only one way, i.e., 1321506586624 + 1321506586624 = 1149568^2 + 1149568^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1149568.

It is a junction number, because it is equal to n+sod(n) for n = 2643013173199 and 2643013173208.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2060025215 + ... + 2060026497.

Almost surely, 2^{2643013173248} is an apocalyptic number.

2643013173248 is a gapful number since it is divisible by the number (28) 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 2643013173248

2643013173248 is an abundant number, since it is smaller than the sum of its proper divisors (3510740431387).

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

2643013173248 is an frugal number, since it uses more digits than its factorization.

2643013173248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 2643013173248 in words is "two trillion, six hundred forty-three billion, thirteen million, one hundred seventy-three thousand, two hundred forty-eight".