2705395680 has 384 divisors, whose sum is σ = 10363852800. Its totient is φ = 655091712.

The previous prime is 2705395643. The next prime is 2705395687. The reversal of 2705395680 is 865935072.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2705395687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3762361 + ... + 3763079.

It is an arithmetic number, because the mean of its divisors is an integer number (26989200).

Almost surely, 2^2705395680 is an apocalyptic number.

2705395680 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 2705395680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5181926400).

2705395680 is an abundant number, since it is smaller than the sum of its proper divisors (7658457120).

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

2705395680 is a wasteful number, since it uses less digits than its factorization.

2705395680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 2705395680 is about 52013.4182687506. The cubic root of 2705395680 is about 1393.4036079927.

The spelling of 2705395680 in words is "two billion, seven hundred five million, three hundred ninety-five thousand, six hundred eighty".