2756133120 has 432 divisors, whose sum is σ = 9910881792. Its totient is φ = 651755520.

The previous prime is 2756133113. The next prime is 2756133131. The reversal of 2756133120 is 213316572.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20117692 + ... + 20117828.

It is an arithmetic number, because the mean of its divisors is an integer number (22941856).

Almost surely, 2^2756133120 is an apocalyptic number.

2756133120 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 2756133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4955440896).

2756133120 is an abundant number, since it is smaller than the sum of its proper divisors (7154748672).

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

2756133120 is a wasteful number, since it uses less digits than its factorization.

2756133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 2756133120 is about 52498.8868453418. The cubic root of 2756133120 is about 1402.0604219101.

Adding to 2756133120 its reverse (213316572), we get a palindrome (2969449692).

The spelling of 2756133120 in words is "two billion, seven hundred fifty-six million, one hundred thirty-three thousand, one hundred twenty".