2641121280 has 624 divisors, whose sum is σ = 11040157440. Its totient is φ = 570949632.

The previous prime is 2641121267. The next prime is 2641121297. The reversal of 2641121280 is 821211462.

2641121280 is a `hidden beast` number, since 2 + 641 + 1 + 2 + 12 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29675476 + ... + 29675564.

It is an arithmetic number, because the mean of its divisors is an integer number (17692560).

Almost surely, 2^2641121280 is an apocalyptic number.

2641121280 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 2641121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520078720).

2641121280 is an abundant number, since it is smaller than the sum of its proper divisors (8399036160).

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

2641121280 is a wasteful number, since it uses less digits than its factorization.

2641121280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2641121280 is about 51391.8405975112. The cubic root of 2641121280 is about 1382.2802879875.

The spelling of 2641121280 in words is "two billion, six hundred forty-one million, one hundred twenty-one thousand, two hundred eighty".