2742220800 has 432 divisors, whose sum is σ = 10733453640. Its totient is φ = 663552000.

The previous prime is 2742220783. The next prime is 2742220813. The reversal of 2742220800 is 80222472.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5068530 + ... + 5069070.

Almost surely, 2^2742220800 is an apocalyptic number.

2742220800 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 2742220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5366726820).

2742220800 is an abundant number, since it is smaller than the sum of its proper divisors (7991232840).

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

2742220800 is a wasteful number, since it uses less digits than its factorization.

2742220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 562 counting only the distinct ones).

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

The square root of 2742220800 is about 52366.2181181723. The cubic root of 2742220800 is about 1399.6973495441.

The spelling of 2742220800 in words is "two billion, seven hundred forty-two million, two hundred twenty thousand, eight hundred".