2281439157120 has 1920 divisors, whose sum is σ = 9302187121920. Its totient is φ = 530310758400.

The previous prime is 2281439157073. The next prime is 2281439157187. The reversal of 2281439157120 is 217519341822.

2281439157120 is a `hidden beast` number, since 2 + 2 + 81 + 439 + 15 + 7 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 37400641890 + ... + 37400641950.

It is an arithmetic number, because the mean of its divisors is an integer number (4844889126).

Almost surely, 2^{2281439157120} is an apocalyptic number.

2281439157120 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 2281439157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651093560960).

2281439157120 is an abundant number, since it is smaller than the sum of its proper divisors (7020747964800).

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

2281439157120 is a wasteful number, since it uses less digits than its factorization.

2281439157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 2281439157120 in words is "two trillion, two hundred eighty-one billion, four hundred thirty-nine million, one hundred fifty-seven thousand, one hundred twenty".