2124145924560 has 400 divisors, whose sum is σ = 8065084515840. Its totient is φ = 513861166080.

The previous prime is 2124145924487. The next prime is 2124145924631. The reversal of 2124145924560 is 654295414212.

2124145924560 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 1 + 4 + 592 + 4 + 56 + 0 = 666.

It is a super-2 number, since 2×2124145924560² (a number of 25 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 34112014 + ... + 34174226.

Almost surely, 2^{2124145924560} is an apocalyptic number.

2124145924560 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 2124145924560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032542257920).

2124145924560 is an abundant number, since it is smaller than the sum of its proper divisors (5940938591280).

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

2124145924560 is a wasteful number, since it uses less digits than its factorization.

2124145924560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62728 (or 62713 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2124145924560 in words is "two trillion, one hundred twenty-four billion, one hundred forty-five million, nine hundred twenty-four thousand, five hundred sixty".