2742060000 has 240 divisors, whose sum is σ = 9390294144. Its totient is φ = 699072000.

The previous prime is 2742059857. The next prime is 2742060001. The reversal of 2742060000 is 602472.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742060001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1379007 + ... + 1380993.

Almost surely, 2^2742060000 is an apocalyptic number.

2742060000 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 2742060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4695147072).

2742060000 is an abundant number, since it is smaller than the sum of its proper divisors (6648234144).

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

2742060000 is a wasteful number, since it uses less digits than its factorization.

2742060000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2020 counting only the distinct ones).

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

The square root of 2742060000 is about 52364.6827546964. The cubic root of 2742060000 is about 1399.6699902430.

Adding to 2742060000 its reverse (602472), we get a palindrome (2742662472).

The spelling of 2742060000 in words is "two billion, seven hundred forty-two million, sixty thousand".