2742146784 has 240 divisors, whose sum is σ = 9197728848. Its totient is φ = 793939968.

The previous prime is 2742146783. The next prime is 2742146809. The reversal of 2742146784 is 4876412472.

2742146784 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742146783) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 570439 + ... + 575225.

Almost surely, 2^2742146784 is an apocalyptic number.

2742146784 is a gapful number since it is divisible by the number (24) 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 2742146784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4598864424).

2742146784 is an abundant number, since it is smaller than the sum of its proper divisors (6455582064).

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

2742146784 is a wasteful number, since it uses less digits than its factorization.

2742146784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4839 (or 4822 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 2742146784 is about 52365.5113982476. The cubic root of 2742146784 is about 1399.6847562315.

The spelling of 2742146784 in words is "two billion, seven hundred forty-two million, one hundred forty-six thousand, seven hundred eighty-four".