2125147741920 has 432 divisors, whose sum is σ = 8439402037248. Its totient is φ = 485556664320.

The previous prime is 2125147741901. The next prime is 2125147741931. The reversal of 2125147741920 is 291477415212.

2125147741920 is a `hidden beast` number, since 2 + 1 + 2 + 51 + 477 + 41 + 92 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 259445025 + ... + 259453215.

It is an arithmetic number, because the mean of its divisors is an integer number (19535652864).

Almost surely, 2^{2125147741920} is an apocalyptic number.

2125147741920 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 2125147741920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219701018624).

2125147741920 is an abundant number, since it is smaller than the sum of its proper divisors (6314254295328).

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

2125147741920 is a wasteful number, since it uses less digits than its factorization.

2125147741920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11903 (or 11885 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 2125147741920 in words is "two trillion, one hundred twenty-five billion, one hundred forty-seven million, seven hundred forty-one thousand, nine hundred twenty".