2166094944 has 288 divisors, whose sum is σ = 6911521344. Its totient is φ = 639221760.

The previous prime is 2166094939. The next prime is 2166094949. The reversal of 2166094944 is 4494906612.

It is an interprime number because it is at equal distance from previous prime (2166094939) and next prime (2166094949).

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 2166094944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166094949) 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, 15810844 + ... + 15810980.

It is an arithmetic number, because the mean of its divisors is an integer number (23998338).

Almost surely, 2^2166094944 is an apocalyptic number.

2166094944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166094944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3455760672).

2166094944 is an abundant number, since it is smaller than the sum of its proper divisors (4745426400).

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

2166094944 is a wasteful number, since it uses less digits than its factorization.

2166094944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2166094944 is about 46541.3251207999. The cubic root of 2166094944 is about 1293.8755202447.

The spelling of 2166094944 in words is "two billion, one hundred sixty-six million, ninety-four thousand, nine hundred forty-four".