2141810491392 has 1536 divisors, whose sum is σ = 8004916752000. Its totient is φ = 567575838720.

The previous prime is 2141810491351. The next prime is 2141810491399. The reversal of 2141810491392 is 2931940181412.

2141810491392 is a `hidden beast` number, since 2 + 141 + 8 + 10 + 491 + 3 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141810491399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112726867959 + ... + 112726867977.

Almost surely, 2^{2141810491392} is an apocalyptic number.

2141810491392 is a gapful number since it is divisible by the number (22) 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 2141810491392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4002458376000).

2141810491392 is an abundant number, since it is smaller than the sum of its proper divisors (5863106260608).

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

2141810491392 is an frugal number, since it uses more digits than its factorization.

2141810491392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 2141810491392 in words is "two trillion, one hundred forty-one billion, eight hundred ten million, four hundred ninety-one thousand, three hundred ninety-two".