2742253056 has 320 divisors, whose sum is σ = 8589926400. Its totient is φ = 873400320.

The previous prime is 2742253037. The next prime is 2742253069. The reversal of 2742253056 is 6503522472.

2742253056 is a `hidden beast` number, since 2 + 74 + 2 + 2 + 530 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2742253056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34712025 + ... + 34712103.

It is an arithmetic number, because the mean of its divisors is an integer number (26843520).

Almost surely, 2^2742253056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2742253056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294963200).

2742253056 is an abundant number, since it is smaller than the sum of its proper divisors (5847673344).

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

2742253056 is an frugal number, since it uses more digits than its factorization.

2742253056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 2742253056 is about 52366.5261020817. The cubic root of 2742253056 is about 1399.7028376094.

The spelling of 2742253056 in words is "two billion, seven hundred forty-two million, two hundred fifty-three thousand, fifty-six".