2750245344 has 288 divisors, whose sum is σ = 9953798400. Its totient is φ = 714067200.

The previous prime is 2750245339. The next prime is 2750245349. The reversal of 2750245344 is 4435420572.

2750245344 is a `hidden beast` number, since 2 + 75 + 0 + 245 + 344 = 666.

It is an interprime number because it is at equal distance from previous prime (2750245339) and next prime (2750245349).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 2750245299 and 2750245308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2750245349) by changing a digit.

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, 1085359 + ... + 1087889.

It is an arithmetic number, because the mean of its divisors is an integer number (34561800).

Almost surely, 2^2750245344 is an apocalyptic number.

2750245344 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 2750245344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976899200).

2750245344 is an abundant number, since it is smaller than the sum of its proper divisors (7203553056).

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

2750245344 is a wasteful number, since it uses less digits than its factorization.

2750245344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The square root of 2750245344 is about 52442.7816195899. The cubic root of 2750245344 is about 1401.0613285455.

The spelling of 2750245344 in words is "two billion, seven hundred fifty million, two hundred forty-five thousand, three hundred forty-four".