2167007940 has 36 divisors (see below), whose sum is σ = 6573257964. Its totient is φ = 577868736.

The previous prime is 2167007939. The next prime is 2167007957. The reversal of 2167007940 is 497007612.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1251461376 + 915546564 = 35376^2 + 30258^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2167007895 and 2167007904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6019287 + ... + 6019646.

It is an arithmetic number, because the mean of its divisors is an integer number (182590499).

Almost surely, 2^2167007940 is an apocalyptic number.

2167007940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2167007940 is an abundant number, since it is smaller than the sum of its proper divisors (4406250024).

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

2167007940 is a wasteful number, since it uses less digits than its factorization.

2167007940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12038948 (or 12038943 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 2167007940 is about 46551.1325318729. The cubic root of 2167007940 is about 1294.0572816284.

The spelling of 2167007940 in words is "two billion, one hundred sixty-seven million, seven thousand, nine hundred forty".