2124149452920 has 960 divisors, whose sum is σ = 8243930027520. Its totient is φ = 485559360000.

The previous prime is 2124149452891. The next prime is 2124149452921. The reversal of 2124149452920 is 292549414212.

2124149452920 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 14 + 94 + 529 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124149452921) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 14067214845 + ... + 14067214995.

It is an arithmetic number, because the mean of its divisors is an integer number (8587427112).

Almost surely, 2^{2124149452920} is an apocalyptic number.

2124149452920 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 2124149452920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121965013760).

2124149452920 is an abundant number, since it is smaller than the sum of its proper divisors (6119780574600).

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

2124149452920 is a wasteful number, since it uses less digits than its factorization.

2124149452920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2124149452920 in words is "two trillion, one hundred twenty-four billion, one hundred forty-nine million, four hundred fifty-two thousand, nine hundred twenty".