2742980864 has 72 divisors (see below), whose sum is σ = 5932526040. Its totient is φ = 1265731584.

The previous prime is 2742980861. The next prime is 2742980873. The reversal of 2742980864 is 4680892472.

It can be written as a sum of positive squares in 4 ways, for example, as 1142980864 + 1600000000 = 33808^2 + 40000^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742980861) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 559994 + ... + 564870.

It is an arithmetic number, because the mean of its divisors is an integer number (82396195).

Almost surely, 2^2742980864 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 2742980864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966263020).

2742980864 is an abundant number, since it is smaller than the sum of its proper divisors (3189545176).

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

2742980864 is an frugal number, since it uses more digits than its factorization.

2742980864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4932 (or 4892 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The square root of 2742980864 is about 52373.4748131151. The cubic root of 2742980864 is about 1399.8266560890.

The spelling of 2742980864 in words is "two billion, seven hundred forty-two million, nine hundred eighty thousand, eight hundred sixty-four".