2838972296160 has 1728 divisors, whose sum is σ = 13519056660480. Its totient is φ = 544419532800.

The previous prime is 2838972296131. The next prime is 2838972296161. The reversal of 2838972296160 is 616922798382.

2838972296160 is a `hidden beast` number, since 2 + 8 + 3 + 8 + 9 + 7 + 2 + 2 + 9 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2838972296161) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 618375465 + ... + 618380055.

It is an arithmetic number, because the mean of its divisors is an integer number (7823528160).

Almost surely, 2^{2838972296160} is an apocalyptic number.

2838972296160 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 2838972296160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6759528330240).

2838972296160 is an abundant number, since it is smaller than the sum of its proper divisors (10680084364320).

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

2838972296160 is a wasteful number, since it uses less digits than its factorization.

2838972296160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4670 (or 4632 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 2838972296160 in words is "two trillion, eight hundred thirty-eight billion, nine hundred seventy-two million, two hundred ninety-six thousand, one hundred sixty".