2888464320 has 448 divisors, whose sum is σ = 11756989440. Its totient is φ = 653930496.

The previous prime is 2888464301. The next prime is 2888464393. The reversal of 2888464320 is 234648882.

2888464320 is a `hidden beast` number, since 288 + 8 + 46 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2888464320² = 16686452255826124800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9858094 + ... + 9858386.

It is an arithmetic number, because the mean of its divisors is an integer number (26243280).

Almost surely, 2^2888464320 is an apocalyptic number.

2888464320 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 2888464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5878494720).

2888464320 is an abundant number, since it is smaller than the sum of its proper divisors (8868525120).

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

2888464320 is a wasteful number, since it uses less digits than its factorization.

2888464320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 2888464320 is about 53744.4352468235. The cubic root of 2888464320 is about 1424.1497864574.

The spelling of 2888464320 in words is "two billion, eight hundred eighty-eight million, four hundred sixty-four thousand, three hundred twenty".