2742797664 has 288 divisors, whose sum is σ = 8453652480. Its totient is φ = 841881600.

The previous prime is 2742797657. The next prime is 2742797689. The reversal of 2742797664 is 4667972472.

2742797664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 2742797664.

It is a congruent number.

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, 21596769 + ... + 21596895.

It is an arithmetic number, because the mean of its divisors is an integer number (29352960).

Almost surely, 2^2742797664 is an apocalyptic number.

2742797664 is a gapful number since it is divisible by the number (24) 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 2742797664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4226826240).

2742797664 is an abundant number, since it is smaller than the sum of its proper divisors (5710854816).

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

2742797664 is a wasteful number, since it uses less digits than its factorization.

2742797664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 263 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The square root of 2742797664 is about 52371.7258069657. The cubic root of 2742797664 is about 1399.7954912157.

The spelling of 2742797664 in words is "two billion, seven hundred forty-two million, seven hundred ninety-seven thousand, six hundred sixty-four".