2696966496 has 288 divisors, whose sum is σ = 9556001280. Its totient is φ = 724764672.

The previous prime is 2696966491. The next prime is 2696966501. The reversal of 2696966496 is 6946696962.

2696966496 is a `hidden beast` number, since 26 + 9 + 69 + 66 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (2696966491) and next prime (2696966501).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2696966491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1747101 + ... + 1748643.

It is an arithmetic number, because the mean of its divisors is an integer number (33180560).

Almost surely, 2^2696966496 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 2696966496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778000640).

2696966496 is an abundant number, since it is smaller than the sum of its proper divisors (6859034784).

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

2696966496 is a wasteful number, since it uses less digits than its factorization.

2696966496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1572 counting only the distinct ones).

The product of its digits is 45349632, while the sum is 63.

The square root of 2696966496 is about 51932.3261177467. The cubic root of 2696966496 is about 1391.9549628711.

The spelling of 2696966496 in words is "two billion, six hundred ninety-six million, nine hundred sixty-six thousand, four hundred ninety-six".