2696049216 has 168 divisors, whose sum is σ = 8890040640. Its totient is φ = 765213696.

The previous prime is 2696049211. The next prime is 2696049221. The reversal of 2696049216 is 6129406962.

2696049216 is a `hidden beast` number, since 26 + 9 + 604 + 9 + 2 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (2696049211) and next prime (2696049221).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×2696049216³ (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2696049211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 630895 + ... + 635153.

Almost surely, 2^2696049216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2696049216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445020320).

2696049216 is an abundant number, since it is smaller than the sum of its proper divisors (6193991424).

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

2696049216 is a wasteful number, since it uses less digits than its factorization.

2696049216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441 (or 4428 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2696049216 is about 51923.4938731977. The cubic root of 2696049216 is about 1391.7971365092.

It can be divided in two parts, 26960 and 49216, that added together give a square (76176 = 276²).

The spelling of 2696049216 in words is "two billion, six hundred ninety-six million, forty-nine thousand, two hundred sixteen".