2890158960 has 160 divisors (see below), whose sum is σ = 9715003200. Its totient is φ = 706535424.

The previous prime is 2890158959. The next prime is 2890158977. The reversal of 2890158960 is 698510982.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461772 + ... + 467988.

It is an arithmetic number, because the mean of its divisors is an integer number (60718770).

Almost surely, 2^2890158960 is an apocalyptic number.

2890158960 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 2890158960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4857501600).

2890158960 is an abundant number, since it is smaller than the sum of its proper divisors (6824844240).

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

2890158960 is a wasteful number, since it uses less digits than its factorization.

2890158960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6395 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 2890158960 is about 53760.1986603472. The cubic root of 2890158960 is about 1424.4282446162.

The spelling of 2890158960 in words is "two billion, eight hundred ninety million, one hundred fifty-eight thousand, nine hundred sixty".