2696831424 has 504 divisors, whose sum is σ = 9757013760. Its totient is φ = 707761152.

The previous prime is 2696831399. The next prime is 2696831429. The reversal of 2696831424 is 4241386962.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2696831424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2696831429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25203979 + ... + 25204085.

Almost surely, 2^2696831424 is an apocalyptic number.

2696831424 is a gapful number since it is divisible by the number (24) 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 2696831424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4878506880).

2696831424 is an abundant number, since it is smaller than the sum of its proper divisors (7060182336).

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

2696831424 is a wasteful number, since it uses less digits than its factorization.

2696831424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 185 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 2696831424 is about 51931.0256397849. The cubic root of 2696831424 is about 1391.9317247527.

The spelling of 2696831424 in words is "two billion, six hundred ninety-six million, eight hundred thirty-one thousand, four hundred twenty-four".