2091060042240 has 320 divisors, whose sum is σ = 7230593462400. Its totient is φ = 512469172224.

The previous prime is 2091060042221. The next prime is 2091060042301. The reversal of 2091060042240 is 422400601902.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2091060042198 and 2091060042207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22817631 + ... + 22909089.

It is an arithmetic number, because the mean of its divisors is an integer number (22595604570).

Almost surely, 2^{2091060042240} is an apocalyptic number.

2091060042240 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 2091060042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615296731200).

2091060042240 is an abundant number, since it is smaller than the sum of its proper divisors (5139533420160).

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

2091060042240 is a wasteful number, since it uses less digits than its factorization.

2091060042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91727 (or 91711 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 2091060042240 in words is "two trillion, ninety-one billion, sixty million, forty-two thousand, two hundred forty".