2129683248 has 360 divisors, whose sum is σ = 7889772800. Its totient is φ = 523480320.

The previous prime is 2129683219. The next prime is 2129683261. The reversal of 2129683248 is 8423869212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2316933 + ... + 2317851.

Almost surely, 2^2129683248 is an apocalyptic number.

2129683248 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 2129683248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3944886400).

2129683248 is an abundant number, since it is smaller than the sum of its proper divisors (5760089552).

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

2129683248 is a wasteful number, since it uses less digits than its factorization.

2129683248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 961 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 2129683248 is about 46148.4912862815. The cubic root of 2129683248 is about 1286.5845689636.

The spelling of 2129683248 in words is "two billion, one hundred twenty-nine million, six hundred eighty-three thousand, two hundred forty-eight".