2742012000 has 1152 divisors, whose sum is σ = 12821372928. Its totient is φ = 559872000.

The previous prime is 2742011983. The next prime is 2742012017. The reversal of 2742012000 is 2102472.

It is an interprime number because it is at equal distance from previous prime (2742011983) and next prime (2742012017).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 88451985 + ... + 88452015.

It is an arithmetic number, because the mean of its divisors is an integer number (11129664).

Almost surely, 2^2742012000 is an apocalyptic number.

2742012000 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 2742012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410686464).

2742012000 is an abundant number, since it is smaller than the sum of its proper divisors (10079360928).

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

2742012000 is a wasteful number, since it uses less digits than its factorization.

2742012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2742012000 is about 52364.2244285161. The cubic root of 2742012000 is about 1399.6618230802.

Adding to 2742012000 its reverse (2102472), we get a palindrome (2744114472).

The spelling of 2742012000 in words is "two billion, seven hundred forty-two million, twelve thousand".