2742132000 has 96 divisors (see below), whose sum is σ = 8983263744. Its totient is φ = 731232000.

The previous prime is 2742131999. The next prime is 2742132007. The reversal of 2742132000 is 2312472.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2742132007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102256 + ... + 126255.

It is an arithmetic number, because the mean of its divisors is an integer number (93575664).

Almost surely, 2^2742132000 is an apocalyptic number.

2742132000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2742132000 is an abundant number, since it is smaller than the sum of its proper divisors (6241131744).

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

2742132000 is a wasteful number, since it uses less digits than its factorization.

2742132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228539 (or 228521 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2742132000 is about 52365.3702364454. The cubic root of 2742132000 is about 1399.6822408086.

Adding to 2742132000 its reverse (2312472), we get a palindrome (2744444472).

The spelling of 2742132000 in words is "two billion, seven hundred forty-two million, one hundred thirty-two thousand".