2124427063680 has 512 divisors, whose sum is σ = 8175536640000. Its totient is φ = 519382056960.

The previous prime is 2124427063663. The next prime is 2124427063697. The reversal of 2124427063680 is 863607244212.

It is a happy number.

2124427063680 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 4 + 2 + 7 + 0 + 636 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2124427063663) and next prime (2124427063697).

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10073556 + ... + 10282284.

It is an arithmetic number, because the mean of its divisors is an integer number (15967845000).

Almost surely, 2^{2124427063680} is an apocalyptic number.

2124427063680 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 2124427063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4087768320000).

2124427063680 is an abundant number, since it is smaller than the sum of its proper divisors (6051109576320).

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

2124427063680 is a wasteful number, since it uses less digits than its factorization.

2124427063680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208807 (or 208789 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 2124427063680 in words is "two trillion, one hundred twenty-four billion, four hundred twenty-seven million, sixty-three thousand, six hundred eighty".