2133979848 has 384 divisors, whose sum is σ = 8035372800. Its totient is φ = 493516800.

The previous prime is 2133979831. The next prime is 2133979907. The reversal of 2133979848 is 8489793312.

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

It is a junction number, because it is equal to n+sod(n) for n = 2133979794 and 2133979803.

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, 2089578 + ... + 2090598.

It is an arithmetic number, because the mean of its divisors is an integer number (20925450).

Almost surely, 2^2133979848 is an apocalyptic number.

2133979848 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 2133979848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017686400).

2133979848 is an abundant number, since it is smaller than the sum of its proper divisors (5901392952).

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

2133979848 is a wasteful number, since it uses less digits than its factorization.

2133979848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1086 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 2133979848 is about 46195.0197315685. The cubic root of 2133979848 is about 1287.4492086414.

The spelling of 2133979848 in words is "two billion, one hundred thirty-three million, nine hundred seventy-nine thousand, eight hundred forty-eight".