2649263841 has 135 divisors (see below), whose sum is σ = 4974344001. Its totient is φ = 1400834736.

The previous prime is 2649263821. The next prime is 2649263849. The reversal of 2649263841 is 1483629462.

The square root of 2649263841 is 51471.

It is a perfect power (a square), and thus also a powerful number.

2649263841 is a `hidden beast` number, since 2 + 6 + 4 + 9 + 2 + 638 + 4 + 1 = 666.

It is not a de Polignac number, because 2649263841 - 2¹⁵ = 2649231073 is a prime.

Its product of digits (497664) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (2649263849) 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 134 ways as a sum of consecutive naturals, for example, 61610766 + ... + 61610808.

Almost surely, 2^2649263841 is an apocalyptic number.

2649263841 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2649263841 is the 51471-st square number.

2649263841 is the 25736-th centered octagonal number.

It is an amenable number.

2649263841 is a deficient number, since it is larger than the sum of its proper divisors (2325080160).

2649263841 is an equidigital number, since it uses as much as digits as its factorization.

2649263841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 72 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The cubic root of 2649263841 is about 1383.6993512649.

The spelling of 2649263841 in words is "two billion, six hundred forty-nine million, two hundred sixty-three thousand, eight hundred forty-one".