2124420480 has 768 divisors, whose sum is σ = 9474494400. Its totient is φ = 445906944.

The previous prime is 2124420469. The next prime is 2124420497. The reversal of 2124420480 is 840244212.

2124420480 is a `hidden beast` number, since 212 + 442 + 0 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11007264 + ... + 11007456.

Almost surely, 2^2124420480 is an apocalyptic number.

2124420480 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 2124420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737247200).

2124420480 is an abundant number, since it is smaller than the sum of its proper divisors (7350073920).

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

2124420480 is a wasteful number, since it uses less digits than its factorization.

2124420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 2124420480 is about 46091.4360809034. The cubic root of 2124420480 is about 1285.5239134008.

2124420480 divided by its sum of digits (27) gives a triangular number (78682240 = T₁₂₅₄₄).

Adding to 2124420480 its reverse (840244212), we get a palindrome (2964664692).

The spelling of 2124420480 in words is "two billion, one hundred twenty-four million, four hundred twenty thousand, four hundred eighty".