2889672240 has 640 divisors, whose sum is σ = 12011231232. Its totient is φ = 557383680.

The previous prime is 2889672217. The next prime is 2889672241. The reversal of 2889672240 is 422769882.

It is a super-3 number, since 3×2889672240³ (a number of 29 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2889672240.

It is not an unprimeable number, because it can be changed into a prime (2889672241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15964950 + ... + 15965130.

Almost surely, 2^2889672240 is an apocalyptic number.

2889672240 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 2889672240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6005615616).

2889672240 is an abundant number, since it is smaller than the sum of its proper divisors (9121558992).

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

2889672240 is a wasteful number, since it uses less digits than its factorization.

2889672240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 2889672240 is about 53755.6717007610. The cubic root of 2889672240 is about 1424.3482793909.

The spelling of 2889672240 in words is "two billion, eight hundred eighty-nine million, six hundred seventy-two thousand, two hundred forty".