2124798480 has 400 divisors, whose sum is σ = 8519871360. Its totient is φ = 480743424.

The previous prime is 2124798479. The next prime is 2124798491. The reversal of 2124798480 is 848974212.

2124798480 is a `hidden beast` number, since 21 + 2 + 479 + 84 + 80 = 666.

It is a super-2 number, since 2×2124798480² = 9029537161220620800, which contains 22 as substring.

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

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, 6304872 + ... + 6305208.

Almost surely, 2^2124798480 is an apocalyptic number.

2124798480 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 2124798480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259935680).

2124798480 is an abundant number, since it is smaller than the sum of its proper divisors (6395072880).

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

2124798480 is a wasteful number, since it uses less digits than its factorization.

2124798480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2124798480 is about 46095.5364433477. The cubic root of 2124798480 is about 1285.6001536784.

The spelling of 2124798480 in words is "two billion, one hundred twenty-four million, seven hundred ninety-eight thousand, four hundred eighty".