2291328000 has 880 divisors, whose sum is σ = 9737071344. Its totient is φ = 530841600.

The previous prime is 2291327993. The next prime is 2291328043. The reversal of 2291328000 is 8231922.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 846111744 + 1445216256 = 29088^2 + 38016^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 134783992 + ... + 134784008.

Almost surely, 2^2291328000 is an apocalyptic number.

2291328000 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 2291328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4868535672).

2291328000 is an abundant number, since it is smaller than the sum of its proper divisors (7445743344).

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

2291328000 is a wasteful number, since it uses less digits than its factorization.

2291328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2291328000 is about 47867.8179991526. The cubic root of 2291328000 is about 1318.3450333699.

Adding to 2291328000 its reverse (8231922), we get a palindrome (2299559922).

The spelling of 2291328000 in words is "two billion, two hundred ninety-one million, three hundred twenty-eight thousand".