2191805952 has 160 divisors (see below), whose sum is σ = 7025145600. Its totient is φ = 593215488.

The previous prime is 2191805951. The next prime is 2191806007. The reversal of 2191805952 is 2595081912.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2191805951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198924 + ... + 209652.

It is an arithmetic number, because the mean of its divisors is an integer number (43907160).

Almost surely, 2^2191805952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2191805952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512572800).

2191805952 is an abundant number, since it is smaller than the sum of its proper divisors (4833339648).

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

2191805952 is a wasteful number, since it uses less digits than its factorization.

2191805952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10776 (or 10760 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 42.

The square root of 2191805952 is about 46816.7272670784. The cubic root of 2191805952 is about 1298.9747245439.

The spelling of 2191805952 in words is "two billion, one hundred ninety-one million, eight hundred five thousand, nine hundred fifty-two".