2090903360000 has 800 divisors, whose sum is σ = 6539480196480. Its totient is φ = 649986048000.

The previous prime is 2090903359991. The next prime is 2090903360003. The reversal of 2090903360000 is 633090902.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-3 number, since 3×2090903360000³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2090903360003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1718079392 + ... + 1718080608.

Almost surely, 2^{2090903360000} is an apocalyptic number.

2090903360000 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 2090903360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269740098240).

2090903360000 is an abundant number, since it is smaller than the sum of its proper divisors (4448576836480).

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

2090903360000 is an equidigital number, since it uses as much as digits as its factorization.

2090903360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 32.

The spelling of 2090903360000 in words is "two trillion, ninety billion, nine hundred three million, three hundred sixty thousand".