2705764320 has 432 divisors, whose sum is σ = 11096362368. Its totient is φ = 598026240.

The previous prime is 2705764309. The next prime is 2705764333. The reversal of 2705764320 is 234675072.

It is a happy number.

2705764320 is a `hidden beast` number, since 2 + 7 + 0 + 5 + 7 + 643 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2186742 + ... + 2187978.

It is an arithmetic number, because the mean of its divisors is an integer number (25686024).

Almost surely, 2^2705764320 is an apocalyptic number.

2705764320 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 2705764320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5548181184).

2705764320 is an abundant number, since it is smaller than the sum of its proper divisors (8390598048).

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

2705764320 is a wasteful number, since it uses less digits than its factorization.

2705764320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2705764320 is about 52016.9618489969. The cubic root of 2705764320 is about 1393.4668939883.

The spelling of 2705764320 in words is "two billion, seven hundred five million, seven hundred sixty-four thousand, three hundred twenty".