2690052768 has 432 divisors, whose sum is σ = 9064560960. Its totient is φ = 782825472.

The previous prime is 2690052767. The next prime is 2690052787. The reversal of 2690052768 is 8672500962.

2690052768 is a `hidden beast` number, since 2 + 69 + 0 + 0 + 527 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is not an unprimeable number, because it can be changed into a prime (2690052767) 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, 30225268 + ... + 30225356.

It is an arithmetic number, because the mean of its divisors is an integer number (20982780).

Almost surely, 2^2690052768 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 2690052768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532280480).

2690052768 is an abundant number, since it is smaller than the sum of its proper divisors (6374508192).

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

2690052768 is a wasteful number, since it uses less digits than its factorization.

2690052768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2690052768 is about 51865.7186202987. The cubic root of 2690052768 is about 1390.7645101684.

The spelling of 2690052768 in words is "two billion, six hundred ninety million, fifty-two thousand, seven hundred sixty-eight".