2124779328 has 336 divisors, whose sum is σ = 7252142976. Its totient is φ = 582266880.

The previous prime is 2124779303. The next prime is 2124779359. The reversal of 2124779328 is 8239774212.

2124779328 is a `hidden beast` number, since 212 + 47 + 79 + 328 = 666.

2124779328 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2124779328² = 9029374385392263168, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13035375 + ... + 13035537.

Almost surely, 2^2124779328 is an apocalyptic number.

2124779328 is a gapful number since it is divisible by the number (28) 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 2124779328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626071488).

2124779328 is an abundant number, since it is smaller than the sum of its proper divisors (5127363648).

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

2124779328 is a wasteful number, since it uses less digits than its factorization.

2124779328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 289 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 2124779328 is about 46095.3287004226. The cubic root of 2124779328 is about 1285.5962910551.

The spelling of 2124779328 in words is "two billion, one hundred twenty-four million, seven hundred seventy-nine thousand, three hundred twenty-eight".