2742254928 has 240 divisors, whose sum is σ = 9018172800. Its totient is φ = 761757696.

The previous prime is 2742254909. The next prime is 2742254951. The reversal of 2742254928 is 8294522472.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6107248 + ... + 6107696.

It is an arithmetic number, because the mean of its divisors is an integer number (37575720).

Almost surely, 2^2742254928 is an apocalyptic number.

2742254928 is a gapful number since it is divisible by the number (28) 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 2742254928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4509086400).

2742254928 is an abundant number, since it is smaller than the sum of its proper divisors (6275917872).

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

2742254928 is a wasteful number, since it uses less digits than its factorization.

2742254928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 617 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2742254928 is about 52366.5439760922. The cubic root of 2742254928 is about 1399.7031561119.

The spelling of 2742254928 in words is "two billion, seven hundred forty-two million, two hundred fifty-four thousand, nine hundred twenty-eight".