2751217664 has 60 divisors (see below), whose sum is σ = 5925977484. Its totient is φ = 1269694464.

The previous prime is 2751217663. The next prime is 2751217723. The reversal of 2751217664 is 4667121572.

It can be written as a sum of positive squares in 2 ways, for example, as 912523264 + 1838694400 = 30208^2 + 42880^2 .

It is not an unprimeable number, because it can be changed into a prime (2751217663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 206534 + ... + 219450.

Almost surely, 2^2751217664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2751217664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962988742).

2751217664 is an abundant number, since it is smaller than the sum of its proper divisors (3174759820).

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

2751217664 is an equidigital number, since it uses as much as digits as its factorization.

2751217664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12958 (or 12932 counting only the distinct ones).

The product of its digits is 141120, while the sum is 41.

The square root of 2751217664 is about 52452.0510943090. The cubic root of 2751217664 is about 1401.2264192038.

The spelling of 2751217664 in words is "two billion, seven hundred fifty-one million, two hundred seventeen thousand, six hundred sixty-four".