2742732500 has 60 divisors (see below), whose sum is σ = 6029335620. Its totient is φ = 1091328000.

The previous prime is 2742732463. The next prime is 2742732523. The reversal of 2742732500 is 52372472.

It can be written as a sum of positive squares in 10 ways, for example, as 1738222864 + 1004509636 = 41692^2 + 31694^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 489716 + ... + 495284.

It is an arithmetic number, because the mean of its divisors is an integer number (100488927).

Almost surely, 2^2742732500 is an apocalyptic number.

2742732500 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 2742732500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014667810).

2742732500 is an abundant number, since it is smaller than the sum of its proper divisors (3286603120).

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

2742732500 is a wasteful number, since it uses less digits than its factorization.

2742732500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790 (or 5773 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 32.

The square root of 2742732500 is about 52371.1036736863. The cubic root of 2742732500 is about 1399.7844055765.

The spelling of 2742732500 in words is "two billion, seven hundred forty-two million, seven hundred thirty-two thousand, five hundred".