2742808320 has 648 divisors, whose sum is σ = 11395880496. Its totient is φ = 606928896.

The previous prime is 2742808301. The next prime is 2742808333. The reversal of 2742808320 is 238082472.

It is a super-2 number, since 2×2742808320² = 15045994960522444800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 24272584 + ... + 24272696.

Almost surely, 2^2742808320 is an apocalyptic number.

2742808320 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 2742808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5697940248).

2742808320 is an abundant number, since it is smaller than the sum of its proper divisors (8653072176).

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

2742808320 is a wasteful number, since it uses less digits than its factorization.

2742808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2742808320 is about 52371.8275411504. The cubic root of 2742808320 is about 1399.7973039878.

The spelling of 2742808320 in words is "two billion, seven hundred forty-two million, eight hundred eight thousand, three hundred twenty".