2769742064 has 40 divisors (see below), whose sum is σ = 5624973312. Its totient is φ = 1318680000.

The previous prime is 2769742057. The next prime is 2769742069. The reversal of 2769742064 is 4602479672.

It is a happy number.

It is a super-2 number, since 2×2769742064² = 15342942202181960192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2769742069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65189 + ... + 98939.

Almost surely, 2^2769742064 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 2769742064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812486656).

2769742064 is an abundant number, since it is smaller than the sum of its proper divisors (2855231248).

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

2769742064 is a wasteful number, since it uses less digits than its factorization.

2769742064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34005 (or 33999 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 47.

The square root of 2769742064 is about 52628.3389819591. The cubic root of 2769742064 is about 1404.3642829283.

The spelling of 2769742064 in words is "two billion, seven hundred sixty-nine million, seven hundred forty-two thousand, sixty-four".