2757742848 has 252 divisors, whose sum is σ = 9436804608. Its totient is φ = 787553280.

The previous prime is 2757742843. The next prime is 2757742901. The reversal of 2757742848 is 8482477572.

2757742848 is a `hidden beast` number, since 2 + 7 + 577 + 4 + 28 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×2757742848² = 15210291231390302208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2757742794 and 2757742803.

It is not an unprimeable number, because it can be changed into a prime (2757742843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1305313 + ... + 1307423.

Almost surely, 2^2757742848 is an apocalyptic number.

2757742848 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 2757742848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718402304).

2757742848 is an abundant number, since it is smaller than the sum of its proper divisors (6679061760).

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

2757742848 is an frugal number, since it uses more digits than its factorization.

2757742848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2123 counting only the distinct ones).

The product of its digits is 7024640, while the sum is 54.

The square root of 2757742848 is about 52514.2156753769. The cubic root of 2757742848 is about 1402.3333280160. Note that the first 4 decimals are identical.

The spelling of 2757742848 in words is "two billion, seven hundred fifty-seven million, seven hundred forty-two thousand, eight hundred forty-eight".