2812661007 has 32 divisors (see below), whose sum is σ = 4240363008. Its totient is φ = 1645370496.

The previous prime is 2812660993. The next prime is 2812661009. The reversal of 2812661007 is 7001662182.

It is not a de Polignac number, because 2812661007 - 2⁶ = 2812660943 is a prime.

It is a super-4 number, since 4×2812661007⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2812661009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136593 + ... + 155829.

It is an arithmetic number, because the mean of its divisors is an integer number (132511344).

Almost surely, 2^2812661007 is an apocalyptic number.

2812661007 is a deficient number, since it is larger than the sum of its proper divisors (1427702001).

2812661007 is a wasteful number, since it uses less digits than its factorization.

2812661007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19439.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 2812661007 is about 53034.5265558202. The cubic root of 2812661007 is about 1411.5809785210.

The spelling of 2812661007 in words is "two billion, eight hundred twelve million, six hundred sixty-one thousand, seven".