2643239520 has 192 divisors, whose sum is σ = 9275394240. Its totient is φ = 703033344.

The previous prime is 2643239513. The next prime is 2643239551. The reversal of 2643239520 is 259323462.

It is a happy number.

2643239520 is a `hidden beast` number, since 2 + 643 + 2 + 3 + 9 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2820492 + ... + 2821428.

It is an arithmetic number, because the mean of its divisors is an integer number (48309345).

Almost surely, 2^2643239520 is an apocalyptic number.

2643239520 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 2643239520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4637697120).

2643239520 is an abundant number, since it is smaller than the sum of its proper divisors (6632154720).

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

2643239520 is a wasteful number, since it uses less digits than its factorization.

2643239520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2643239520 is about 51412.4451859664. The cubic root of 2643239520 is about 1382.6497294305.

The spelling of 2643239520 in words is "two billion, six hundred forty-three million, two hundred thirty-nine thousand, five hundred twenty".