2649105540 has 96 divisors (see below), whose sum is σ = 8267118720. Its totient is φ = 704246400.

The previous prime is 2649105517. The next prime is 2649105553. The reversal of 2649105540 is 455019462.

2649105540 is a `hidden beast` number, since 2 + 6 + 4 + 9 + 105 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2649105495 and 2649105504.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171330 + ... + 186150.

It is an arithmetic number, because the mean of its divisors is an integer number (86115820).

Almost surely, 2^2649105540 is an apocalyptic number.

2649105540 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 2649105540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133559360).

2649105540 is an abundant number, since it is smaller than the sum of its proper divisors (5618013180).

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

2649105540 is a wasteful number, since it uses less digits than its factorization.

2649105540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15170 (or 15162 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2649105540 is about 51469.4622081871. The cubic root of 2649105540 is about 1383.6717907340.

The spelling of 2649105540 in words is "two billion, six hundred forty-nine million, one hundred five thousand, five hundred forty".