2649915216 has 240 divisors, whose sum is σ = 8481332160. Its totient is φ = 787449600.

The previous prime is 2649915211. The next prime is 2649915221. The reversal of 2649915216 is 6125199462.

2649915216 is a `hidden beast` number, since 2 + 6 + 499 + 152 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2649915211) and next prime (2649915221).

Its product of digits (233280) is a multiple of the sum of its prime divisors (540).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2649915211) 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, 5396731 + ... + 5397221.

It is an arithmetic number, because the mean of its divisors is an integer number (35338884).

Almost surely, 2^2649915216 is an apocalyptic number.

2649915216 is a gapful number since it is divisible by the number (26) 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 2649915216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240666080).

2649915216 is an abundant number, since it is smaller than the sum of its proper divisors (5831416944).

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

2649915216 is a wasteful number, since it uses less digits than its factorization.

2649915216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 540 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 2649915216 is about 51477.3272033426. The cubic root of 2649915216 is about 1383.8127454454.

The spelling of 2649915216 in words is "two billion, six hundred forty-nine million, nine hundred fifteen thousand, two hundred sixteen".