2709745896 has 256 divisors, whose sum is σ = 8256245760. Its totient is φ = 730229760.

The previous prime is 2709745891. The next prime is 2709745901. The reversal of 2709745896 is 6985479072.

It is an interprime number because it is at equal distance from previous prime (2709745891) and next prime (2709745901).

It is not an unprimeable number, because it can be changed into a prime (2709745891) 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 63 ways as a sum of consecutive naturals, for example, 17259450 + ... + 17259606.

It is an arithmetic number, because the mean of its divisors is an integer number (32250960).

Almost surely, 2^2709745896 is an apocalyptic number.

2709745896 is a gapful number since it is divisible by the number (26) 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 2709745896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128122880).

2709745896 is an abundant number, since it is smaller than the sum of its proper divisors (5546499864).

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

2709745896 is a wasteful number, since it uses less digits than its factorization.

2709745896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The square root of 2709745896 is about 52055.2196806430. The cubic root of 2709745896 is about 1394.1500620312.

The spelling of 2709745896 in words is "two billion, seven hundred nine million, seven hundred forty-five thousand, eight hundred ninety-six".