2641413820 has 48 divisors (see below), whose sum is σ = 5864171040. Its totient is φ = 996627456.

The previous prime is 2641413809. The next prime is 2641413821. The reversal of 2641413820 is 283141462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2641413821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73624 + ... + 103456.

It is an arithmetic number, because the mean of its divisors is an integer number (122170230).

Almost surely, 2^2641413820 is an apocalyptic number.

2641413820 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 2641413820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932085520).

2641413820 is an abundant number, since it is smaller than the sum of its proper divisors (3222757220).

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

2641413820 is a wasteful number, since it uses less digits than its factorization.

2641413820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30094 (or 30092 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 2641413820 is about 51394.6866903574. The cubic root of 2641413820 is about 1382.3313215327.

The spelling of 2641413820 in words is "two billion, six hundred forty-one million, four hundred thirteen thousand, eight hundred twenty".