2775780672 has 224 divisors, whose sum is σ = 9176186880. Its totient is φ = 722165760.

The previous prime is 2775780613. The next prime is 2775780673. The reversal of 2775780672 is 2760875772.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2775780673) by changing a digit.

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, 706329 + ... + 710247.

It is an arithmetic number, because the mean of its divisors is an integer number (40965120).

Almost surely, 2^2775780672 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 2775780672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4588093440).

2775780672 is an abundant number, since it is smaller than the sum of its proper divisors (6400406208).

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

2775780672 is a wasteful number, since it uses less digits than its factorization.

2775780672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3989 (or 3979 counting only the distinct ones).

The product of its (nonzero) digits is 2304960, while the sum is 51.

The square root of 2775780672 is about 52685.6780539076. The cubic root of 2775780672 is about 1405.3841432188.

The spelling of 2775780672 in words is "two billion, seven hundred seventy-five million, seven hundred eighty thousand, six hundred seventy-two".