2702730000 has 200 divisors, whose sum is σ = 9106435008. Its totient is φ = 689216000.

The previous prime is 2702729999. The next prime is 2702730001. The reversal of 2702730000 is 372072.

It is an interprime number because it is at equal distance from previous prime (2702729999) and next prime (2702730001).

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (2702730001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 688042 + ... + 691958.

Almost surely, 2^2702730000 is an apocalyptic number.

2702730000 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 2702730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553217504).

2702730000 is an abundant number, since it is smaller than the sum of its proper divisors (6403705008).

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

2702730000 is a wasteful number, since it uses less digits than its factorization.

2702730000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3971 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 2702730000 is about 51987.7870273394. The cubic root of 2702730000 is about 1392.9458082000.

The spelling of 2702730000 in words is "two billion, seven hundred two million, seven hundred thirty thousand".