2742112472 has 64 divisors (see below), whose sum is σ = 5764620960. Its totient is φ = 1212006400.

The previous prime is 2742112469. The next prime is 2742112481.

2742112472 is nontrivially palindromic in base 10.

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, 1272548 + ... + 1274700.

Almost surely, 2^2742112472 is an apocalyptic number.

2742112472 is a gapful number since it is divisible by the number (22) 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 2742112472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882310480).

2742112472 is an abundant number, since it is smaller than the sum of its proper divisors (3022508488).

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

2742112472 is a wasteful number, since it uses less digits than its factorization.

2742112472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564 (or 2560 counting only the distinct ones).

The product of its digits is 12544, while the sum is 32.

The square root of 2742112472 is about 52365.1837770097. The cubic root of 2742112472 is about 1399.6789182041.

It can be divided in two parts, 27421 and 12472, that added together give a palindrome (39893).

The spelling of 2742112472 in words is "two billion, seven hundred forty-two million, one hundred twelve thousand, four hundred seventy-two".