2133581940 has 144 divisors (see below), whose sum is σ = 7831579392. Its totient is φ = 458984448.

The previous prime is 2133581929. The next prime is 2133581941. The reversal of 2133581940 is 491853312.

2133581940 is a `hidden beast` number, since 2 + 1 + 33 + 581 + 9 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2133581895 and 2133581904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133581941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28384 + ... + 71223.

It is an arithmetic number, because the mean of its divisors is an integer number (54385968).

Almost surely, 2^2133581940 is an apocalyptic number.

2133581940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133581940 is an abundant number, since it is smaller than the sum of its proper divisors (5697997452).

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

2133581940 is a wasteful number, since it uses less digits than its factorization.

2133581940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99646 (or 99641 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2133581940 is about 46190.7127028800. The cubic root of 2133581940 is about 1287.3691831772.

It can be divided in two parts, 2133581 and 940, that added together give a square (2134521 = 1461²).

The spelling of 2133581940 in words is "two billion, one hundred thirty-three million, five hundred eighty-one thousand, nine hundred forty".