2040606405120 has 320 divisors, whose sum is σ = 6592111827840. Its totient is φ = 538457407488.

The previous prime is 2040606405091. The next prime is 2040606405151. The reversal of 2040606405120 is 215046060402.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1018774039 + ... + 1018776041.

It is an arithmetic number, because the mean of its divisors is an integer number (20600349462).

Almost surely, 2^{2040606405120} is an apocalyptic number.

2040606405120 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 2040606405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296055913920).

2040606405120 is an abundant number, since it is smaller than the sum of its proper divisors (4551505422720).

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

2040606405120 is a wasteful number, since it uses less digits than its factorization.

2040606405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 2040606405120 in words is "two trillion, forty billion, six hundred six million, four hundred five thousand, one hundred twenty".