2769985680 has 800 divisors, whose sum is σ = 12003517440. Its totient is φ = 521579520.

The previous prime is 2769985679. The next prime is 2769985681. The reversal of 2769985680 is 865899672.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2769985679) and next prime (2769985681).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (2769985681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 120434149 + ... + 120434171.

Almost surely, 2^2769985680 is an apocalyptic number.

2769985680 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 2769985680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6001758720).

2769985680 is an abundant number, since it is smaller than the sum of its proper divisors (9233531760).

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

2769985680 is a wasteful number, since it uses less digits than its factorization.

2769985680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The square root of 2769985680 is about 52630.6534255466. The cubic root of 2769985680 is about 1404.4054559053.

The spelling of 2769985680 in words is "two billion, seven hundred sixty-nine million, nine hundred eighty-five thousand, six hundred eighty".