2670538167 has 96 divisors (see below), whose sum is σ = 4616801280. Its totient is φ = 1527361920.

The previous prime is 2670538067. The next prime is 2670538219. The reversal of 2670538167 is 7618350762.

2670538167 is a `hidden beast` number, since 267 + 0 + 5 + 381 + 6 + 7 = 666.

It is not a de Polignac number, because 2670538167 - 2¹⁶ = 2670472631 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2670538067) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3642933 + ... + 3643665.

It is an arithmetic number, because the mean of its divisors is an integer number (48091680).

It is a vampire number, since it can be written as 36801 ⋅ 72567 (with its own digits).

Almost surely, 2^2670538167 is an apocalyptic number.

2670538167 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2670538167 is the 25839-th decagonal number.

2670538167 is a deficient number, since it is larger than the sum of its proper divisors (1946263113).

2670538167 is a wasteful number, since it uses less digits than its factorization.

2670538167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 2670538167 is about 51677.2499945576. The cubic root of 2670538167 is about 1387.3933112999.

The spelling of 2670538167 in words is "two billion, six hundred seventy million, five hundred thirty-eight thousand, one hundred sixty-seven".