2738160768 has 128 divisors (see below), whose sum is σ = 8482320000. Its totient is φ = 782294016.

The previous prime is 2738160749. The next prime is 2738160781. The reversal of 2738160768 is 8670618372.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121318 + ... + 142106.

It is an arithmetic number, because the mean of its divisors is an integer number (66268125).

Almost surely, 2^2738160768 is an apocalyptic number.

2738160768 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 2738160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241160000).

2738160768 is an abundant number, since it is smaller than the sum of its proper divisors (5744159232).

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

2738160768 is an equidigital number, since it uses as much as digits as its factorization.

2738160768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20827 (or 20801 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 2738160768 is about 52327.4380034031. The cubic root of 2738160768 is about 1399.0062280841.

The spelling of 2738160768 in words is "two billion, seven hundred thirty-eight million, one hundred sixty thousand, seven hundred sixty-eight".