2088416 has 48 divisors (see below), whose sum is σ = 4762800. Its totient is φ = 890880.

The previous prime is 2088413. The next prime is 2088419. The reversal of 2088416 is 6148802.

It is an interprime number because it is at equal distance from previous prime (2088413) and next prime (2088419).

It is a super-2 number, since 2×2088416² = 8722962778112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2088413) 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, 5810 + ... + 6158.

It is an arithmetic number, because the mean of its divisors is an integer number (99225).

2^2088416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2088416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381400).

2088416 is an abundant number, since it is smaller than the sum of its proper divisors (2674384).

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

2088416 is a wasteful number, since it uses less digits than its factorization.

2088416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 2088416 is about 1445.1352877845. The cubic root of 2088416 is about 127.8220182592.

The spelling of 2088416 in words is "two million, eighty-eight thousand, four hundred sixteen".