2291904000 has 480 divisors, whose sum is σ = 8663713344. Its totient is φ = 581222400.

The previous prime is 2291903989. The next prime is 2291904037. The reversal of 2291904000 is 4091922.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13247914 + ... + 13248086.

Almost surely, 2^2291904000 is an apocalyptic number.

2291904000 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 2291904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4331856672).

2291904000 is an abundant number, since it is smaller than the sum of its proper divisors (6371809344).

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

2291904000 is a wasteful number, since it uses less digits than its factorization.

2291904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2291904000 is about 47873.8341894609. The cubic root of 2291904000 is about 1318.4554937838.

Adding to 2291904000 its reverse (4091922), we get a palindrome (2295995922).

The spelling of 2291904000 in words is "two billion, two hundred ninety-one million, nine hundred four thousand".