2807936145 has 64 divisors (see below), whose sum is σ = 5722122240. Its totient is φ = 1279779264.

The previous prime is 2807936143. The next prime is 2807936161. The reversal of 2807936145 is 5416397082.

2807936145 is a `hidden beast` number, since 28 + 0 + 7 + 9 + 3 + 614 + 5 = 666.

2807936145 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2807936145 - 2¹ = 2807936143 is a prime.

It is a super-3 number, since 3×2807936145³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

2807936145 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2807936145.

It is not an unprimeable number, because it can be changed into a prime (2807936143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 323634 + ... + 332196.

It is an arithmetic number, because the mean of its divisors is an integer number (89408160).

It is a 1-persistent number, because it is pandigital, but 2⋅2807936145 = 5615872290 is not.

Almost surely, 2^2807936145 is an apocalyptic number.

It is an amenable number.

2807936145 is an abundant number, since it is smaller than the sum of its proper divisors (2914186095).

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

2807936145 is a wasteful number, since it uses less digits than its factorization.

With its successor (2807936146) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (8925).

2807936145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8931 (or 8925 counting only the distinct ones).

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

The square root of 2807936145 is about 52989.9626816249. The cubic root of 2807936145 is about 1410.7901185004.

The spelling of 2807936145 in words is "two billion, eight hundred seven million, nine hundred thirty-six thousand, one hundred forty-five".