2090101895424 has 216 divisors, whose sum is σ = 6270858502272. Its totient is φ = 694316759040.

The previous prime is 2090101895269. The next prime is 2090101895443. The reversal of 2090101895424 is 4245981010902.

It is a happy number.

2090101895424 is a `hidden beast` number, since 2 + 0 + 90 + 1 + 0 + 18 + 9 + 542 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 2090101895424.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18169609 + ... + 18284279.

Almost surely, 2^{2090101895424} is an apocalyptic number.

2090101895424 is a gapful number since it is divisible by the number (24) 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 2090101895424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135429251136).

2090101895424 is an abundant number, since it is smaller than the sum of its proper divisors (4180756606848).

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

2090101895424 is an equidigital number, since it uses as much as digits as its factorization.

2090101895424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114995 (or 114969 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 2090101895424 in words is "two trillion, ninety billion, one hundred one million, eight hundred ninety-five thousand, four hundred twenty-four".