2124471888 has 400 divisors, whose sum is σ = 7814083200. Its totient is φ = 541209600.

The previous prime is 2124471859. The next prime is 2124471893. The reversal of 2124471888 is 8881744212.

2124471888 is a `hidden beast` number, since 21 + 2 + 447 + 188 + 8 = 666.

2124471888 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (229376) is a multiple of the sum of its prime factors (448).

It is a congruent number.

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, 6087138 + ... + 6087486.

It is an arithmetic number, because the mean of its divisors is an integer number (19535208).

Almost surely, 2^2124471888 is an apocalyptic number.

2124471888 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 2124471888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907041600).

2124471888 is an abundant number, since it is smaller than the sum of its proper divisors (5689611312).

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

2124471888 is a wasteful number, since it uses less digits than its factorization.

2124471888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 433 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The square root of 2124471888 is about 46091.9937516268. The cubic root of 2124471888 is about 1285.5342826098.

The spelling of 2124471888 in words is "two billion, one hundred twenty-four million, four hundred seventy-one thousand, eight hundred eighty-eight".