2641408820 has 24 divisors (see below), whose sum is σ = 5582296104. Its totient is φ = 1049832576.

The previous prime is 2641408817. The next prime is 2641408829. The reversal of 2641408820 is 288041462.

2641408820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 813162256 + 1828246564 = 28516^2 + 42758^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2641408829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417467 + ... + 423746.

It is an arithmetic number, because the mean of its divisors is an integer number (232595671).

Almost surely, 2^2641408820 is an apocalyptic number.

2641408820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2641408820 is an abundant number, since it is smaller than the sum of its proper divisors (2940887284).

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

2641408820 is a wasteful number, since it uses less digits than its factorization.

2641408820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841379 (or 841377 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 2641408820 is about 51394.6380471738. The cubic root of 2641408820 is about 1382.3304493153.

The spelling of 2641408820 in words is "two billion, six hundred forty-one million, four hundred eight thousand, eight hundred twenty".