2191931504 has 240 divisors, whose sum is σ = 5527458720. Its totient is φ = 836075520.

The previous prime is 2191931501. The next prime is 2191931519. The reversal of 2191931504 is 4051391912.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2191931501) 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, 22597184 + ... + 22597280.

It is an arithmetic number, because the mean of its divisors is an integer number (23031078).

Almost surely, 2^2191931504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2191931504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763729360).

2191931504 is an abundant number, since it is smaller than the sum of its proper divisors (3335527216).

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

2191931504 is a wasteful number, since it uses less digits than its factorization.

2191931504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 35.

The square root of 2191931504 is about 46818.0681361374. The cubic root of 2191931504 is about 1298.9995268857. Note that the first 3 decimals are identical.

The spelling of 2191931504 in words is "two billion, one hundred ninety-one million, nine hundred thirty-one thousand, five hundred four".