2768002361 has 8 divisors (see below), whose sum is σ = 2784974400. Its totient is φ = 2751072688.

The previous prime is 2768002357. The next prime is 2768002381. The reversal of 2768002361 is 1632008672.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2768002361 - 2² = 2768002357 is a prime.

It is a super-5 number, since 5×2768002361⁵ (a number of 48 digits) contains 55555 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2768002331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125795 + ... + 146151.

It is an arithmetic number, because the mean of its divisors is an integer number (348121800).

Almost surely, 2^2768002361 is an apocalyptic number.

It is an amenable number.

2768002361 is a deficient number, since it is larger than the sum of its proper divisors (16972039).

2768002361 is a wasteful number, since it uses less digits than its factorization.

2768002361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21183.

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 2768002361 is about 52611.8081897971. The cubic root of 2768002361 is about 1404.0701895427.

The spelling of 2768002361 in words is "two billion, seven hundred sixty-eight million, two thousand, three hundred sixty-one".