2742664320 has 512 divisors, whose sum is σ = 10857369600. Its totient is φ = 648622080.

The previous prime is 2742664319. The next prime is 2742664321. The reversal of 2742664320 is 234662472.

2742664320 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 6 + 643 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2742664319) and next prime (2742664321).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2742664321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8933607 + ... + 8933913.

It is an arithmetic number, because the mean of its divisors is an integer number (21205800).

Almost surely, 2^2742664320 is an apocalyptic number.

2742664320 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 2742664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428684800).

2742664320 is an abundant number, since it is smaller than the sum of its proper divisors (8114705280).

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

2742664320 is a wasteful number, since it uses less digits than its factorization.

2742664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 2742664320 is about 52370.4527381614. The cubic root of 2742664320 is about 1399.7728066703.

The spelling of 2742664320 in words is "two billion, seven hundred forty-two million, six hundred sixty-four thousand, three hundred twenty".