2747664640 has 288 divisors, whose sum is σ = 8005939200. Its totient is φ = 883187712.

The previous prime is 2747664631. The next prime is 2747664641. The reversal of 2747664640 is 464667472.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (2747664641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13807261 + ... + 13807459.

It is an arithmetic number, because the mean of its divisors is an integer number (27798400).

Almost surely, 2^2747664640 is an apocalyptic number.

2747664640 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 2747664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4002969600).

2747664640 is an abundant number, since it is smaller than the sum of its proper divisors (5258274560).

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

2747664640 is a wasteful number, since it uses less digits than its factorization.

2747664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 46.

The square root of 2747664640 is about 52418.1708952153. The cubic root of 2747664640 is about 1400.6229608540.

The spelling of 2747664640 in words is "two billion, seven hundred forty-seven million, six hundred sixty-four thousand, six hundred forty".