2742480000 has 480 divisors, whose sum is σ = 10656385740. Its totient is φ = 672768000.

The previous prime is 2742479989. The next prime is 2742480043. The reversal of 2742480000 is 842472.

It can be written as a sum of positive squares in 10 ways, for example, as 112021056 + 2630458944 = 10584^2 + 51288^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9359854 + ... + 9360146.

Almost surely, 2^2742480000 is an apocalyptic number.

2742480000 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 2742480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5328192870).

2742480000 is an abundant number, since it is smaller than the sum of its proper divisors (7913905740).

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

2742480000 is a wasteful number, since it uses less digits than its factorization.

2742480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2742480000 is about 52368.6929376703. The cubic root of 2742480000 is about 1399.7414488525.

The spelling of 2742480000 in words is "two billion, seven hundred forty-two million, four hundred eighty thousand".