2641461120 has 192 divisors, whose sum is σ = 9184724640. Its totient is φ = 699494400.

The previous prime is 2641461077. The next prime is 2641461157. The reversal of 2641461120 is 211641462.

2641461120 is a `hidden beast` number, since 2 + 6 + 41 + 4 + 611 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 868242 + ... + 871278.

Almost surely, 2^2641461120 is an apocalyptic number.

2641461120 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 2641461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4592362320).

2641461120 is an abundant number, since it is smaller than the sum of its proper divisors (6543263520).

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

2641461120 is a wasteful number, since it uses less digits than its factorization.

2641461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2641461120 is about 51395.1468525969. The cubic root of 2641461120 is about 1382.3395726544.

It can be divided in two parts, 2641 and 461120, that added together give a square (463761 = 681²).

The spelling of 2641461120 in words is "two billion, six hundred forty-one million, four hundred sixty-one thousand, one hundred twenty".