2705400000 has 420 divisors, whose sum is σ = 10083948336. Its totient is φ = 717120000.

The previous prime is 2705399993. The next prime is 2705400007. The reversal of 2705400000 is 45072.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2705399993) and next prime (2705400007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2705400007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16199917 + ... + 16200083.

Almost surely, 2^2705400000 is an apocalyptic number.

2705400000 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 2705400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5041974168).

2705400000 is an abundant number, since it is smaller than the sum of its proper divisors (7378548336).

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

2705400000 is an frugal number, since it uses more digits than its factorization.

2705400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2705400000 is about 52013.4597964796. The cubic root of 2705400000 is about 1393.4043496588.

Adding to 2705400000 its reverse (45072), we get a palindrome (2705445072).

The spelling of 2705400000 in words is "two billion, seven hundred five million, four hundred thousand".