2838801980160 has 288 divisors, whose sum is σ = 10077801209280. Its totient is φ = 756713521152.

The previous prime is 2838801980159. The next prime is 2838801980227. The reversal of 2838801980160 is 610891088382.

2838801980160 is a `hidden beast` number, since 28 + 388 + 0 + 1 + 9 + 80 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2838801980097 and 2838801980106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95128762 + ... + 95158598.

It is an arithmetic number, because the mean of its divisors is an integer number (34992365310).

Almost surely, 2^{2838801980160} is an apocalyptic number.

2838801980160 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 2838801980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038900604640).

2838801980160 is an abundant number, since it is smaller than the sum of its proper divisors (7238999229120).

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

2838801980160 is a wasteful number, since it uses less digits than its factorization.

2838801980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32620 (or 32600 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 2838801980160 in words is "two trillion, eight hundred thirty-eight billion, eight hundred one million, nine hundred eighty thousand, one hundred sixty".