2705100000 has 288 divisors, whose sum is σ = 9071419392. Its totient is φ = 705600000.

The previous prime is 2705099983. The next prime is 2705100023. The reversal of 2705100000 is 15072.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 21299937 + ... + 21300063.

It is an arithmetic number, because the mean of its divisors is an integer number (31497984).

Almost surely, 2^2705100000 is an apocalyptic number.

2705100000 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 2705100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535709696).

2705100000 is an abundant number, since it is smaller than the sum of its proper divisors (6366319392).

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

2705100000 is an equidigital number, since it uses as much as digits as its factorization.

2705100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 2705100000 is about 52010.5758476101. The cubic root of 2705100000 is about 1393.3528431955.

Adding to 2705100000 its reverse (15072), we get a palindrome (2705115072).

The spelling of 2705100000 in words is "two billion, seven hundred five million, one hundred thousand".