2649579660 has 336 divisors, whose sum is σ = 10272661056. Its totient is φ = 558752256.

The previous prime is 2649579643. The next prime is 2649579679. The reversal of 2649579660 is 669759462.

2649579660 is a `hidden beast` number, since 2 + 6 + 4 + 9 + 579 + 6 + 60 = 666.

2649579660 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2649579597 and 2649579606.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1325782 + ... + 1327778.

It is an arithmetic number, because the mean of its divisors is an integer number (30573396).

Almost surely, 2^2649579660 is an apocalyptic number.

2649579660 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 2649579660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136330528).

2649579660 is an abundant number, since it is smaller than the sum of its proper divisors (7623081396).

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

2649579660 is a wasteful number, since it uses less digits than its factorization.

2649579660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 2649579660 is about 51474.0678400299. The cubic root of 2649579660 is about 1383.7543327249.

The spelling of 2649579660 in words is "two billion, six hundred forty-nine million, five hundred seventy-nine thousand, six hundred sixty".