2301125440020 has 288 divisors, whose sum is σ = 7290132192000. Its totient is φ = 541534371840.

The previous prime is 2301125439989. The next prime is 2301125440063. The reversal of 2301125440020 is 200445211032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120600841 + ... + 120619919.

It is an arithmetic number, because the mean of its divisors is an integer number (25312959000).

Almost surely, 2^{2301125440020} is an apocalyptic number.

2301125440020 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 2301125440020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645066096000).

2301125440020 is an abundant number, since it is smaller than the sum of its proper divisors (4989006751980).

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

2301125440020 is a wasteful number, since it uses less digits than its factorization.

2301125440020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19599 (or 19586 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 2301125440020 in words is "two trillion, three hundred one billion, one hundred twenty-five million, four hundred forty thousand, twenty".