2745859968 has 192 divisors, whose sum is σ = 8513556480. Its totient is φ = 846996480.

The previous prime is 2745859967. The next prime is 2745859973. The reversal of 2745859968 is 8699585472.

2745859968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2745859968² = 15079493927729922048, which contains 22 as substring.

Its product of digits (43545600) is a multiple of the sum of its prime divisors (3402).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2745859967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 819705 + ... + 823047.

It is an arithmetic number, because the mean of its divisors is an integer number (44341440).

Almost surely, 2^2745859968 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 2745859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4256778240).

2745859968 is an abundant number, since it is smaller than the sum of its proper divisors (5767696512).

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

2745859968 is a wasteful number, since it uses less digits than its factorization.

2745859968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417 (or 3402 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The square root of 2745859968 is about 52400.9538844476. The cubic root of 2745859968 is about 1400.3162496446.

The spelling of 2745859968 in words is "two billion, seven hundred forty-five million, eight hundred fifty-nine thousand, nine hundred sixty-eight".