2641565120 has 56 divisors (see below), whose sum is σ = 6322307904. Its totient is φ = 1051237376.

The previous prime is 2641565099. The next prime is 2641565131. The reversal of 2641565120 is 215651462.

It is a super-2 number, since 2×2641565120² = 13955732566401228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42089 + ... + 83991.

Almost surely, 2^2641565120 is an apocalyptic number.

2641565120 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 2641565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161153952).

2641565120 is an abundant number, since it is smaller than the sum of its proper divisors (3680742784).

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

2641565120 is a wasteful number, since it uses less digits than its factorization.

2641565120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42117 (or 42107 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 2641565120 is about 51396.1586113204. The cubic root of 2641565120 is about 1382.3577143094.

The spelling of 2641565120 in words is "two billion, six hundred forty-one million, five hundred sixty-five thousand, one hundred twenty".