2124382680 has 256 divisors, whose sum is σ = 8197632000. Its totient is φ = 479291904.

The previous prime is 2124382669. The next prime is 2124382681. The reversal of 2124382680 is 862834212.

2124382680 is a `hidden beast` number, since 212 + 4 + 382 + 68 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124382681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 595462 + ... + 599018.

It is an arithmetic number, because the mean of its divisors is an integer number (32022000).

Almost surely, 2^2124382680 is an apocalyptic number.

2124382680 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 2124382680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4098816000).

2124382680 is an abundant number, since it is smaller than the sum of its proper divisors (6073249320).

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

2124382680 is a wasteful number, since it uses less digits than its factorization.

2124382680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2124382680 is about 46091.0260245962. The cubic root of 2124382680 is about 1285.5162888756.

The spelling of 2124382680 in words is "two billion, one hundred twenty-four million, three hundred eighty-two thousand, six hundred eighty".