2291940480 has 256 divisors, whose sum is σ = 7550807040. Its totient is φ = 591052800.

The previous prime is 2291940449. The next prime is 2291940481. The reversal of 2291940480 is 840491922.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2291940481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10277649 + ... + 10277871.

It is an arithmetic number, because the mean of its divisors is an integer number (29495340).

Almost surely, 2^2291940480 is an apocalyptic number.

2291940480 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 2291940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775403520).

2291940480 is an abundant number, since it is smaller than the sum of its proper divisors (5258866560).

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

2291940480 is a wasteful number, since it uses less digits than its factorization.

2291940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 2291940480 is about 47874.2151893898. The cubic root of 2291940480 is about 1318.4624889868.

The spelling of 2291940480 in words is "two billion, two hundred ninety-one million, nine hundred forty thousand, four hundred eighty".