2641826220 has 96 divisors (see below), whose sum is σ = 8183379456. Its totient is φ = 631411200.

The previous prime is 2641826189. The next prime is 2641826221. The reversal of 2641826220 is 226281462.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2641826221) 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 31 ways as a sum of consecutive naturals, for example, 18672 + ... + 75048.

It is an arithmetic number, because the mean of its divisors is an integer number (85243536).

Almost surely, 2^2641826220 is an apocalyptic number.

2641826220 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 2641826220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4091689728).

2641826220 is an abundant number, since it is smaller than the sum of its proper divisors (5541553236).

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

2641826220 is a wasteful number, since it uses less digits than its factorization.

2641826220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56471 (or 56469 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 2641826220 is about 51398.6986216577. The cubic root of 2641826220 is about 1382.4032582315.

The spelling of 2641826220 in words is "two billion, six hundred forty-one million, eight hundred twenty-six thousand, two hundred twenty".