2164811376 has 240 divisors, whose sum is σ = 7085359008. Its totient is φ = 564480000.

The previous prime is 2164811333. The next prime is 2164811377. The reversal of 2164811376 is 6731184612.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164811377) 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, 3087826 + ... + 3088526.

Almost surely, 2^2164811376 is an apocalyptic number.

2164811376 is a gapful number since it is divisible by the number (26) 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 2164811376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542679504).

2164811376 is an abundant number, since it is smaller than the sum of its proper divisors (4920547632).

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

2164811376 is a wasteful number, since it uses less digits than its factorization.

2164811376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 827 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 2164811376 is about 46527.5335258597. The cubic root of 2164811376 is about 1293.6198981216.

Adding to 2164811376 its reverse (6731184612), we get a palindrome (8895995988).

The spelling of 2164811376 in words is "two billion, one hundred sixty-four million, eight hundred eleven thousand, three hundred seventy-six".