2291604480 has 528 divisors, whose sum is σ = 9016953120. Its totient is φ = 551485440.

The previous prime is 2291604473. The next prime is 2291604481. The reversal of 2291604480 is 844061922.

2291604480 is a `hidden beast` number, since 2 + 2 + 9 + 1 + 604 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2291604481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16726972 + ... + 16727108.

Almost surely, 2^2291604480 is an apocalyptic number.

2291604480 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 2291604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508476560).

2291604480 is an abundant number, since it is smaller than the sum of its proper divisors (6725348640).

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

2291604480 is a wasteful number, since it uses less digits than its factorization.

2291604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2291604480 is about 47870.7058648606. The cubic root of 2291604480 is about 1318.3980566786.

The spelling of 2291604480 in words is "two billion, two hundred ninety-one million, six hundred four thousand, four hundred eighty".