2170910952 has 192 divisors, whose sum is σ = 6954180480. Its totient is φ = 598980096.

The previous prime is 2170910947. The next prime is 2170910957. The reversal of 2170910952 is 2590190712.

It is an interprime number because it is at equal distance from previous prime (2170910947) and next prime (2170910957).

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

It is not an unprimeable number, because it can be changed into a prime (2170910957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1789098 + ... + 1790310.

It is an arithmetic number, because the mean of its divisors is an integer number (36219690).

Almost surely, 2^2170910952 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 2170910952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477090240).

2170910952 is an abundant number, since it is smaller than the sum of its proper divisors (4783269528).

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

2170910952 is a wasteful number, since it uses less digits than its factorization.

2170910952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 2170910952 is about 46593.0354452251. The cubic root of 2170910952 is about 1294.8337273043.

The spelling of 2170910952 in words is "two billion, one hundred seventy million, nine hundred ten thousand, nine hundred fifty-two".