2788235379601 has 27 divisors (see below), whose sum is σ = 3273965563323. Its totient is φ = 2367644233920.

The previous prime is 2788235379581. The next prime is 2788235379649. The reversal of 2788235379601 is 1069735328872.

The square root of 2788235379601 is 1669801.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 49130939025 + 2739104440576 = 221655^2 + 1655024^2 .

It is not a de Polignac number, because 2788235379601 - 2⁴¹ = 589212124049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2788235379601.

It is not an unprimeable number, because it can be changed into a prime (2788235379691) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1320811536 + ... + 1320813646.

Almost surely, 2^{2788235379601} is an apocalyptic number.

2788235379601 is the 1669801-st square number.

2788235379601 is the 834901-st centered octagonal number.

It is an amenable number.

2788235379601 is a deficient number, since it is larger than the sum of its proper divisors (485730183722).

2788235379601 is an frugal number, since it uses more digits than its factorization.

2788235379601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4462 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 61.

The spelling of 2788235379601 in words is "two trillion, seven hundred eighty-eight billion, two hundred thirty-five million, three hundred seventy-nine thousand, six hundred one".