2769668832 has 384 divisors, whose sum is σ = 9364045824. Its totient is φ = 698277888.

The previous prime is 2769668813. The next prime is 2769668833. The reversal of 2769668832 is 2388669672.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2769668833) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21808353 + ... + 21808479.

It is an arithmetic number, because the mean of its divisors is an integer number (24385536).

Almost surely, 2^2769668832 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 2769668832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4682022912).

2769668832 is an abundant number, since it is smaller than the sum of its proper divisors (6594376992).

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

2769668832 is a wasteful number, since it uses less digits than its factorization.

2769668832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 57.

The square root of 2769668832 is about 52627.6432305305. The cubic root of 2769668832 is about 1404.3519056854.

The spelling of 2769668832 in words is "two billion, seven hundred sixty-nine million, six hundred sixty-eight thousand, eight hundred thirty-two".