2041515648 has 144 divisors (see below), whose sum is σ = 6201403650. Its totient is φ = 644557824.

The previous prime is 2041515631. The next prime is 2041515653. The reversal of 2041515648 is 8465151402.

It is a happy number.

2041515648 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 5 + 1 + 5 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1108090944 + 933424704 = 33288^2 + 30552^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×2041515648³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 413418 + ... + 418326.

Almost surely, 2^2041515648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041515648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100701825).

2041515648 is an abundant number, since it is smaller than the sum of its proper divisors (4159888002).

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

2041515648 is a wasteful number, since it uses less digits than its factorization.

2041515648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4967 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2041515648 is about 45183.1345526182. The cubic root of 2041515648 is about 1268.5791554018.

It can be divided in two parts, 20415 and 15648, that added together give a palindrome (36063).

The spelling of 2041515648 in words is "two billion, forty-one million, five hundred fifteen thousand, six hundred forty-eight".