2649977460 has 144 divisors (see below), whose sum is σ = 8709114960. Its totient is φ = 652204800.

The previous prime is 2649977419. The next prime is 2649977467. The reversal of 2649977460 is 647799462.

It is a happy number.

2649977460 is a `hidden beast` number, since 26 + 4 + 99 + 77 + 460 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2101855716 + 548121744 = 45846^2 + 23412^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2649977397 and 2649977406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2649977467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392110 + ... + 398810.

It is an arithmetic number, because the mean of its divisors is an integer number (60479965).

Almost surely, 2^2649977460 is an apocalyptic number.

2649977460 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 2649977460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354557480).

2649977460 is an abundant number, since it is smaller than the sum of its proper divisors (6059137500).

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

2649977460 is a wasteful number, since it uses less digits than its factorization.

2649977460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6755 (or 6724 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 2649977460 is about 51477.9317766361. The cubic root of 2649977460 is about 1383.8235801777.

The spelling of 2649977460 in words is "two billion, six hundred forty-nine million, nine hundred seventy-seven thousand, four hundred sixty".