2891009952 has 36 divisors (see below), whose sum is σ = 8221310370. Its totient is φ = 963669888.

The previous prime is 2891009941. The next prime is 2891009963. The reversal of 2891009952 is 2599001982.

It is an interprime number because it is at equal distance from previous prime (2891009941) and next prime (2891009963).

It can be written as a sum of positive squares in only one way, i.e., 1904798736 + 986211216 = 43644^2 + 31404^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2891009898 and 2891009907.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5018827 + ... + 5019402.

Almost surely, 2^2891009952 is an apocalyptic number.

It is an amenable number.

2891009952 is an abundant number, since it is smaller than the sum of its proper divisors (5330300418).

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

2891009952 is a wasteful number, since it uses less digits than its factorization.

2891009952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10038245 (or 10038234 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 2891009952 is about 53768.1127807179. The cubic root of 2891009952 is about 1424.5680360145.

The spelling of 2891009952 in words is "two billion, eight hundred ninety-one million, nine thousand, nine hundred fifty-two".