2106162464 has 96 divisors (see below), whose sum is σ = 5012380800. Its totient is φ = 851005440.

The previous prime is 2106162451. The next prime is 2106162467. The reversal of 2106162464 is 4642616012.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2106162464.

It is not an unprimeable number, because it can be changed into a prime (2106162467) 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, 973544 + ... + 975704.

It is an arithmetic number, because the mean of its divisors is an integer number (52212300).

Almost surely, 2^2106162464 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 2106162464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506190400).

2106162464 is an abundant number, since it is smaller than the sum of its proper divisors (2906218336).

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

2106162464 is a wasteful number, since it uses less digits than its factorization.

2106162464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 2106162464 is about 45892.9456888529. The cubic root of 2106162464 is about 1281.8305644035.

Adding to 2106162464 its reverse (4642616012), we get a palindrome (6748778476).

The spelling of 2106162464 in words is "two billion, one hundred six million, one hundred sixty-two thousand, four hundred sixty-four".