2164467096 has 192 divisors, whose sum is σ = 6692474880. Its totient is φ = 649918080.

The previous prime is 2164467091. The next prime is 2164467101. The reversal of 2164467096 is 6907644612.

It is an interprime number because it is at equal distance from previous prime (2164467091) and next prime (2164467101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164467091) 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, 2715370 + ... + 2716166.

It is an arithmetic number, because the mean of its divisors is an integer number (34856640).

Almost surely, 2^2164467096 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 2164467096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346237440).

2164467096 is an abundant number, since it is smaller than the sum of its proper divisors (4528007784).

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

2164467096 is a wasteful number, since it uses less digits than its factorization.

2164467096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2164467096 is about 46523.8336339558. The cubic root of 2164467096 is about 1293.5513176939.

The spelling of 2164467096 in words is "two billion, one hundred sixty-four million, four hundred sixty-seven thousand, ninety-six".