2769669672 has 384 divisors, whose sum is σ = 9376819200. Its totient is φ = 665280000.

The previous prime is 2769669671. The next prime is 2769669697.

2769669672 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2769669671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27422422 + ... + 27422522.

It is an arithmetic number, because the mean of its divisors is an integer number (24418800).

Almost surely, 2^2769669672 is an apocalyptic number.

2769669672 is a gapful number since it is divisible by the number (22) 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 2769669672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688409600).

2769669672 is an abundant number, since it is smaller than the sum of its proper divisors (6607149528).

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

2769669672 is a wasteful number, since it uses less digits than its factorization.

2769669672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 60.

The square root of 2769669672 is about 52627.6512111266. The cubic root of 2769669672 is about 1404.3520476585.

The spelling of 2769669672 in words is "two billion, seven hundred sixty-nine million, six hundred sixty-nine thousand, six hundred seventy-two".