2137856 has 36 divisors (see below), whose sum is σ = 4881072. Its totient is φ = 915456.

The previous prime is 2137841. The next prime is 2137859. The reversal of 2137856 is 6587312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 2²¹ + 1 + 3³ + 7 + 8⁵ + 5³ + 6⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1196 + ... + 2388.

2^2137856 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 2137856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440536).

2137856 is an abundant number, since it is smaller than the sum of its proper divisors (2743216).

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

2137856 is an equidigital number, since it uses as much as digits as its factorization.

2137856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1202 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 2137856 is about 1462.1408960835. The cubic root of 2137856 is about 128.8228242925.

The spelling of 2137856 in words is "two million, one hundred thirty-seven thousand, eight hundred fifty-six".