2890429328160 has 384 divisors, whose sum is σ = 11145472369920. Its totient is φ = 693771264000.

The previous prime is 2890429328153. The next prime is 2890429328161. The reversal of 2890429328160 is 618239240982.

2890429328160 is a `hidden beast` number, since 2 + 89 + 0 + 429 + 3 + 2 + 81 + 60 = 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 = 2890429328097 and 2890429328106.

It is not an unprimeable number, because it can be changed into a prime (2890429328161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4498404 + ... + 5100636.

It is an arithmetic number, because the mean of its divisors is an integer number (29024667630).

Almost surely, 2^{2890429328160} is an apocalyptic number.

2890429328160 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 2890429328160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5572736184960).

2890429328160 is an abundant number, since it is smaller than the sum of its proper divisors (8255043041760).

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

2890429328160 is a wasteful number, since it uses less digits than its factorization.

2890429328160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602369 (or 602355 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 2890429328160 in words is "two trillion, eight hundred ninety billion, four hundred twenty-nine million, three hundred twenty-eight thousand, one hundred sixty".