2705923000 has 256 divisors, whose sum is σ = 7399641600. Its totient is φ = 923472000.

The previous prime is 2705922983. The next prime is 2705923001. The reversal of 2705923000 is 3295072.

It is a self number, because there is not a number n which added to its sum of digits gives 2705923000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2705923001) 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, 25288947 + ... + 25289053.

It is an arithmetic number, because the mean of its divisors is an integer number (28904850).

Almost surely, 2^2705923000 is an apocalyptic number.

2705923000 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 2705923000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699820800).

2705923000 is an abundant number, since it is smaller than the sum of its proper divisors (4693718600).

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

2705923000 is a wasteful number, since it uses less digits than its factorization.

2705923000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 2705923000 is about 52018.4870983384. The cubic root of 2705923000 is about 1393.4941334886.

The spelling of 2705923000 in words is "two billion, seven hundred five million, nine hundred twenty-three thousand".