2664113100 has 144 divisors (see below), whose sum is σ = 8524871040. Its totient is φ = 636940800.

The previous prime is 2664113093. The next prime is 2664113107. The reversal of 2664113100 is 13114662.

It is an interprime number because it is at equal distance from previous prime (2664113093) and next prime (2664113107).

It is a super-2 number, since 2×2664113100² = 14194997219183220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2664113107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235371 + ... + 246429.

Almost surely, 2^2664113100 is an apocalyptic number.

2664113100 is a gapful number since it is divisible by the number (20) 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 2664113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262435520).

2664113100 is an abundant number, since it is smaller than the sum of its proper divisors (5860757940).

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

2664113100 is a wasteful number, since it uses less digits than its factorization.

2664113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11160 (or 11153 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2664113100 is about 51615.0472246224. The cubic root of 2664113100 is about 1386.2797712789.

Adding to 2664113100 its reverse (13114662), we get a palindrome (2677227762).

The spelling of 2664113100 in words is "two billion, six hundred sixty-four million, one hundred thirteen thousand, one hundred".