2124106145280 has 480 divisors, whose sum is σ = 8488978527744. Its totient is φ = 480792526848.

The previous prime is 2124106145221. The next prime is 2124106145299. The reversal of 2124106145280 is 825416014212.

2124106145280 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 10 + 614 + 5 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16547907 + ... + 16675773.

Almost surely, 2^{2124106145280} is an apocalyptic number.

2124106145280 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 2124106145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4244489263872).

2124106145280 is an abundant number, since it is smaller than the sum of its proper divisors (6364872382464).

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

2124106145280 is a wasteful number, since it uses less digits than its factorization.

2124106145280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128006 (or 127987 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 2124106145280 in words is "two trillion, one hundred twenty-four billion, one hundred six million, one hundred forty-five thousand, two hundred eighty".