2742216000 has 112 divisors (see below), whose sum is σ = 9054876480. Its totient is φ = 731251200.

The previous prime is 2742215977. The next prime is 2742216013. The reversal of 2742216000 is 6122472.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33130 + ... + 81129.

Almost surely, 2^2742216000 is an apocalyptic number.

2742216000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2742216000 is an abundant number, since it is smaller than the sum of its proper divisors (6312660480).

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

2742216000 is a wasteful number, since it uses less digits than its factorization.

2742216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114289 (or 114269 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2742216000 is about 52366.1722870786. The cubic root of 2742216000 is about 1399.6965328640.

Adding to 2742216000 its reverse (6122472), we get a palindrome (2748338472).

The spelling of 2742216000 in words is "two billion, seven hundred forty-two million, two hundred sixteen thousand".