2664836496 has 400 divisors, whose sum is σ = 9605920896. Its totient is φ = 695734272.

The previous prime is 2664836491. The next prime is 2664836519. The reversal of 2664836496 is 6946384662.

2664836496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (2664836491) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5706055 + ... + 5706521.

Almost surely, 2^2664836496 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 2664836496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802960448).

2664836496 is an abundant number, since it is smaller than the sum of its proper divisors (6941084400).

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

2664836496 is a wasteful number, since it uses less digits than its factorization.

2664836496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 533 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The square root of 2664836496 is about 51622.0543566410. The cubic root of 2664836496 is about 1386.4052337312.

It can be divided in two parts, 2664 and 836496, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 2664836496 in words is "two billion, six hundred sixty-four million, eight hundred thirty-six thousand, four hundred ninety-six".