2738880000 has 400 divisors, whose sum is σ = 10162809360. Its totient is φ = 728064000.

The previous prime is 2738879999. The next prime is 2738880019. The reversal of 2738880000 is 888372.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 8639842 + ... + 8640158.

Almost surely, 2^2738880000 is an apocalyptic number.

2738880000 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 2738880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5081404680).

2738880000 is an abundant number, since it is smaller than the sum of its proper divisors (7423929360).

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

2738880000 is an frugal number, since it uses more digits than its factorization.

2738880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2738880000 is about 52334.3099696557. The cubic root of 2738880000 is about 1399.1287095653.

It can be divided in two parts, 27 and 38880000, that multiplied together give a 4-th power (1049760000 = 180⁴).

The spelling of 2738880000 in words is "two billion, seven hundred thirty-eight million, eight hundred eighty thousand".