2696382720 has 432 divisors, whose sum is σ = 9999575040. Its totient is φ = 668860416.

The previous prime is 2696382707. The next prime is 2696382721. The reversal of 2696382720 is 272836962.

2696382720 is a `hidden beast` number, since 2 + 6 + 9 + 638 + 2 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2696382721) 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 47 ways as a sum of consecutive naturals, for example, 21231297 + ... + 21231423.

Almost surely, 2^2696382720 is an apocalyptic number.

2696382720 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 2696382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999787520).

2696382720 is an abundant number, since it is smaller than the sum of its proper divisors (7303192320).

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

2696382720 is a wasteful number, since it uses less digits than its factorization.

2696382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2696382720 is about 51926.7052680988. The cubic root of 2696382720 is about 1391.8545230450.

The spelling of 2696382720 in words is "two billion, six hundred ninety-six million, three hundred eighty-two thousand, seven hundred twenty".