2133780 has 96 divisors (see below), whose sum is σ = 6749568. Its totient is φ = 499200.

The previous prime is 2133773. The next prime is 2133793. The reversal of 2133780 is 873312.

It is a d-powerful number, because it can be written as 2²¹ + 1 + 3⁶ + 3⁶ + 7⁴ + 8⁵ + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 2133780.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34950 + ... + 35010.

It is an arithmetic number, because the mean of its divisors is an integer number (70308).

2^2133780 is an apocalyptic number.

2133780 is a gapful number since it is divisible by the number (20) 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 2133780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374784).

2133780 is an abundant number, since it is smaller than the sum of its proper divisors (4615788).

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

2133780 is a wasteful number, since it uses less digits than its factorization.

2133780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2133780 is about 1460.7463845583. The cubic root of 2133780 is about 128.7409017356.

It can be divided in two parts, 213 and 3780, that added together give a palindrome (3993).

The spelling of 2133780 in words is "two million, one hundred thirty-three thousand, seven hundred eighty".