2769645120 has 224 divisors, whose sum is σ = 9828556416. Its totient is φ = 654950400.

The previous prime is 2769645113. The next prime is 2769645157. The reversal of 2769645120 is 215469672.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 429762 + ... + 436158.

It is an arithmetic number, because the mean of its divisors is an integer number (43877484).

Almost surely, 2^2769645120 is an apocalyptic number.

2769645120 is a gapful number since it is divisible by the number (20) 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 2769645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914278208).

2769645120 is an abundant number, since it is smaller than the sum of its proper divisors (7058911296).

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

2769645120 is a wasteful number, since it uses less digits than its factorization.

2769645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6469 (or 6459 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 2769645120 is about 52627.4179492021. The cubic root of 2769645120 is about 1404.3478979755.

The spelling of 2769645120 in words is "two billion, seven hundred sixty-nine million, six hundred forty-five thousand, one hundred twenty".