2813670760 has 24 divisors (see below), whose sum is σ = 6331514130. Its totient is φ = 1125334112.

The previous prime is 2813670721. The next prime is 2813670773. The reversal of 2813670760 is 670763182.

It can be written as a sum of positive squares in only one way, i.e., 2532303684 + 281367076 = 50322^2 + 16774^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 331287 + ... + 339673.

Almost surely, 2^2813670760 is an apocalyptic number.

2813670760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2813670760 is an abundant number, since it is smaller than the sum of its proper divisors (3517843370).

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

2813670760 is an frugal number, since it uses more digits than its factorization.

2813670760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16785 (or 8394 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 2813670760 is about 53044.0454716644. The cubic root of 2813670760 is about 1411.7498787890.

Multiplying 2813670760 by its sum of digits (40), we get a square (112546830400 = 335480²).

2813670760 divided by its sum of digits (40) gives a square (70341769 = 8387²).

The spelling of 2813670760 in words is "two billion, eight hundred thirteen million, six hundred seventy thousand, seven hundred sixty".