2839378268160 has 832 divisors, whose sum is σ = 11909027266560. Its totient is φ = 628038696960.

The previous prime is 2839378268113. The next prime is 2839378268197. The reversal of 2839378268160 is 618628739382.

2839378268160 is a `hidden beast` number, since 2 + 8 + 393 + 7 + 82 + 6 + 8 + 160 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119980489 + ... + 120004151.

Almost surely, 2^{2839378268160} is an apocalyptic number.

2839378268160 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 2839378268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5954513633280).

2839378268160 is an abundant number, since it is smaller than the sum of its proper divisors (9069648998400).

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

2839378268160 is a wasteful number, since it uses less digits than its factorization.

2839378268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23739 (or 23711 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 2839378268160 in words is "two trillion, eight hundred thirty-nine billion, three hundred seventy-eight million, two hundred sixty-eight thousand, one hundred sixty".