2896160780160 has 1536 divisors, whose sum is σ = 11295941529600. Its totient is φ = 707104899072.

The previous prime is 2896160780141. The next prime is 2896160780171. The reversal of 2896160780160 is 610870616982.

2896160780160 is a `hidden beast` number, since 2 + 8 + 9 + 616 + 0 + 7 + 8 + 0 + 16 + 0 = 666.

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 = 2896160780097 and 2896160780106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10455453942 + ... + 10455454218.

It is an arithmetic number, because the mean of its divisors is an integer number (7354128600).

Almost surely, 2^{2896160780160} is an apocalyptic number.

2896160780160 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 2896160780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5647970764800).

2896160780160 is an abundant number, since it is smaller than the sum of its proper divisors (8399780749440).

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

2896160780160 is a wasteful number, since it uses less digits than its factorization.

2896160780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 2896160780160 in words is "two trillion, eight hundred ninety-six billion, one hundred sixty million, seven hundred eighty thousand, one hundred sixty".