2738892160 has 128 divisors (see below), whose sum is σ = 6818365440. Its totient is φ = 1050900480.

The previous prime is 2738892119. The next prime is 2738892179. The reversal of 2738892160 is 612988372.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2738892160.

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, 2519137 + ... + 2520223.

It is an arithmetic number, because the mean of its divisors is an integer number (53268480).

Almost surely, 2^2738892160 is an apocalyptic number.

2738892160 is a gapful number since it is divisible by the number (20) 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 2738892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409182720).

2738892160 is an abundant number, since it is smaller than the sum of its proper divisors (4079473280).

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

2738892160 is a wasteful number, since it uses less digits than its factorization.

2738892160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 2738892160 is about 52334.4261457026. The cubic root of 2738892160 is about 1399.1307801659.

The spelling of 2738892160 in words is "two billion, seven hundred thirty-eight million, eight hundred ninety-two thousand, one hundred sixty".