2742028800 has 360 divisors, whose sum is σ = 10455649248. Its totient is φ = 620544000.

The previous prime is 2742028769. The next prime is 2742028841. The reversal of 2742028800 is 88202472.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27148750 + ... + 27148850.

Almost surely, 2^2742028800 is an apocalyptic number.

2742028800 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 2742028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227824624).

2742028800 is an abundant number, since it is smaller than the sum of its proper divisors (7713620448).

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

2742028800 is an equidigital number, since it uses as much as digits as its factorization.

2742028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 2742028800 is about 52364.3848431355. The cubic root of 2742028800 is about 1399.6646815980.

The spelling of 2742028800 in words is "two billion, seven hundred forty-two million, twenty-eight thousand, eight hundred".