2703132000 has 432 divisors, whose sum is σ = 10058604192. Its totient is φ = 713836800.

The previous prime is 2703131993. The next prime is 2703132007. The reversal of 2703132000 is 2313072.

It is an interprime number because it is at equal distance from previous prime (2703131993) and next prime (2703132007).

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2703132007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26243949 + ... + 26244051.

It is an arithmetic number, because the mean of its divisors is an integer number (23283806).

Almost surely, 2^2703132000 is an apocalyptic number.

2703132000 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 2703132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029302096).

2703132000 is an abundant number, since it is smaller than the sum of its proper divisors (7355472192).

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

2703132000 is an frugal number, since it uses more digits than its factorization.

2703132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 2703132000 is about 51991.6531762551. The cubic root of 2703132000 is about 1393.0148663319.

Adding to 2703132000 its reverse (2313072), we get a palindrome (2705445072).

The spelling of 2703132000 in words is "two billion, seven hundred three million, one hundred thirty-two thousand".