2191931165340 has 576 divisors, whose sum is σ = 8055274106880. Its totient is φ = 472018821120.

The previous prime is 2191931165269. The next prime is 2191931165377. The reversal of 2191931165340 is 435611391912.

2191931165340 is a `hidden beast` number, since 2 + 1 + 9 + 193 + 116 + 5 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 197697277 + ... + 197708363.

It is an arithmetic number, because the mean of its divisors is an integer number (13984850880).

Almost surely, 2^{2191931165340} is an apocalyptic number.

2191931165340 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 2191931165340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027637053440).

2191931165340 is an abundant number, since it is smaller than the sum of its proper divisors (5863342941540).

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

2191931165340 is a wasteful number, since it uses less digits than its factorization.

2191931165340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11282 (or 11277 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 2191931165340 in words is "two trillion, one hundred ninety-one billion, nine hundred thirty-one million, one hundred sixty-five thousand, three hundred forty".