2664240000 has 320 divisors, whose sum is σ = 9377810640. Its totient is φ = 667648000.

The previous prime is 2664239999. The next prime is 2664240001. The reversal of 2664240000 is 424662.

It is an interprime number because it is at equal distance from previous prime (2664239999) and next prime (2664240001).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664240001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4079674 + ... + 4080326.

Almost surely, 2^2664240000 is an apocalyptic number.

2664240000 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 2664240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688905320).

2664240000 is an abundant number, since it is smaller than the sum of its proper divisors (6713570640).

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

2664240000 is an equidigital number, since it uses as much as digits as its factorization.

2664240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2664240000 is about 51616.2765026692. The cubic root of 2664240000 is about 1386.3017818697.

Adding to 2664240000 its reverse (424662), we get a palindrome (2664664662).

The spelling of 2664240000 in words is "two billion, six hundred sixty-four million, two hundred forty thousand".