2643760020 has 96 divisors (see below), whose sum is σ = 8105198976. Its totient is φ = 638553600.

The previous prime is 2643760003. The next prime is 2643760027. The reversal of 2643760020 is 200673462.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 2643760020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2643760027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175590 + ... + 190050.

It is an arithmetic number, because the mean of its divisors is an integer number (84429156).

Almost surely, 2^2643760020 is an apocalyptic number.

2643760020 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 2643760020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052599488).

2643760020 is an abundant number, since it is smaller than the sum of its proper divisors (5461438956).

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

2643760020 is a wasteful number, since it uses less digits than its factorization.

2643760020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14761 (or 14759 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 2643760020 is about 51417.5069407298. The cubic root of 2643760020 is about 1382.7404794295.

The spelling of 2643760020 in words is "two billion, six hundred forty-three million, seven hundred sixty thousand, twenty".