2769364416 has 224 divisors, whose sum is σ = 9310916608. Its totient is φ = 706682880.

The previous prime is 2769364369. The next prime is 2769364421. The reversal of 2769364416 is 6144639672.

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 (48).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 539076 + ... + 544188.

It is an arithmetic number, because the mean of its divisors is an integer number (41566592).

Almost surely, 2^2769364416 is an apocalyptic number.

2769364416 is a gapful number since it is divisible by the number (26) 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 2769364416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655458304).

2769364416 is an abundant number, since it is smaller than the sum of its proper divisors (6541552192).

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

2769364416 is a wasteful number, since it uses less digits than its factorization.

2769364416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5179 (or 5169 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The square root of 2769364416 is about 52624.7509827838. The cubic root of 2769364416 is about 1404.3004527405.

The spelling of 2769364416 in words is "two billion, seven hundred sixty-nine million, three hundred sixty-four thousand, four hundred sixteen".