2132416 has 56 divisors (see below), whose sum is σ = 4992624. Its totient is φ = 890880.

The previous prime is 2132411. The next prime is 2132419. The reversal of 2132416 is 6142312.

It is a junction number, because it is equal to n+sod(n) for n = 2132393 and 2132402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9036 + ... + 9268.

It is an arithmetic number, because the mean of its divisors is an integer number (89154).

2^2132416 is an apocalyptic number.

2132416 is a gapful number since it is divisible by the number (26) 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 2132416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496312).

2132416 is an abundant number, since it is smaller than the sum of its proper divisors (2860208).

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

2132416 is a wasteful number, since it uses less digits than its factorization.

2132416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 259 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 2132416 is about 1460.2794253156. The cubic root of 2132416 is about 128.7134637272.

Adding to 2132416 its reverse (6142312), we get a palindrome (8274728).

The spelling of 2132416 in words is "two million, one hundred thirty-two thousand, four hundred sixteen".