2749575456 has 120 divisors (see below), whose sum is σ = 8283975084. Its totient is φ = 894136320.

The previous prime is 2749575403. The next prime is 2749575509. The reversal of 2749575456 is 6545759472.

It is a happy number.

2749575456 is a `hidden beast` number, since 2 + 7 + 4 + 95 + 7 + 545 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2749575403) and next prime (2749575509).

It can be written as a sum of positive squares in 2 ways, for example, as 2522048400 + 227527056 = 50220^2 + 15084^2 .

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 93336 + ... + 119208.

Almost surely, 2^2749575456 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 2749575456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141987542).

2749575456 is an abundant number, since it is smaller than the sum of its proper divisors (5534399628).

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

2749575456 is a wasteful number, since it uses less digits than its factorization.

2749575456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25936 (or 25919 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 54.

The square root of 2749575456 is about 52436.3943840535. The cubic root of 2749575456 is about 1400.9475653152.

The spelling of 2749575456 in words is "two billion, seven hundred forty-nine million, five hundred seventy-five thousand, four hundred fifty-six".