2891533680 has 480 divisors, whose sum is σ = 11820672000. Its totient is φ = 636387840.

The previous prime is 2891533663. The next prime is 2891533681. The reversal of 2891533680 is 863351982.

It is a happy number.

2891533680 is a `hidden beast` number, since 28 + 91 + 533 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2891533681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14530221 + ... + 14530419.

It is an arithmetic number, because the mean of its divisors is an integer number (24626400).

Almost surely, 2^2891533680 is an apocalyptic number.

2891533680 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 2891533680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5910336000).

2891533680 is an abundant number, since it is smaller than the sum of its proper divisors (8929138320).

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

2891533680 is a wasteful number, since it uses less digits than its factorization.

2891533680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2891533680 is about 53772.9828073541. The cubic root of 2891533680 is about 1424.6540545262.

The spelling of 2891533680 in words is "two billion, eight hundred ninety-one million, five hundred thirty-three thousand, six hundred eighty".