2649216240 has 320 divisors, whose sum is σ = 10190062080. Its totient is φ = 627056640.

The previous prime is 2649216239. The next prime is 2649216277. The reversal of 2649216240 is 426129462.

2649216240 is a `hidden beast` number, since 2 + 6 + 4 + 9 + 21 + 624 + 0 = 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 = 2649216195 and 2649216204.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1020384 + ... + 1022976.

It is an arithmetic number, because the mean of its divisors is an integer number (31843944).

Almost surely, 2^2649216240 is an apocalyptic number.

2649216240 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 2649216240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5095031040).

2649216240 is an abundant number, since it is smaller than the sum of its proper divisors (7540845840).

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

2649216240 is a wasteful number, since it uses less digits than its factorization.

2649216240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2649216240 is about 51470.5375919079. The cubic root of 2649216240 is about 1383.6910639479.

The spelling of 2649216240 in words is "two billion, six hundred forty-nine million, two hundred sixteen thousand, two hundred forty".