2120255141340 has 288 divisors, whose sum is σ = 7391713480704. Its totient is φ = 444311516160.

The previous prime is 2120255141317. The next prime is 2120255141341. The reversal of 2120255141340 is 431415520212.

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 = 2120255141298 and 2120255141307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120255141341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4474672 + ... + 4925768.

It is an arithmetic number, because the mean of its divisors is an integer number (25665671808).

Almost surely, 2^{2120255141340} is an apocalyptic number.

2120255141340 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 2120255141340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3695856740352).

2120255141340 is an abundant number, since it is smaller than the sum of its proper divisors (5271458339364).

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

2120255141340 is a wasteful number, since it uses less digits than its factorization.

2120255141340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451185 (or 451164 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 2120255141340 in words is "two trillion, one hundred twenty billion, two hundred fifty-five million, one hundred forty-one thousand, three hundred forty".