2753740800 has 450 divisors, whose sum is σ = 10324357428. Its totient is φ = 725483520.

The previous prime is 2753740789. The next prime is 2753740817. The reversal of 2753740800 is 80473572.

2753740800 is a `hidden beast` number, since 2 + 7 + 537 + 40 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (450).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 33177559 + ... + 33177641.

Almost surely, 2^2753740800 is an apocalyptic number.

2753740800 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 2753740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5162178714).

2753740800 is an abundant number, since it is smaller than the sum of its proper divisors (7570616628).

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

2753740800 is an frugal number, since it uses more digits than its factorization.

2753740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2753740800 is about 52476.0974158712. The cubic root of 2753740800 is about 1401.6546422683.

The spelling of 2753740800 in words is "two billion, seven hundred fifty-three million, seven hundred forty thousand, eight hundred".