2120256 has 70 divisors (see below), whose sum is σ = 6300470. Its totient is φ = 705024.

The previous prime is 2120249. The next prime is 2120263. The reversal of 2120256 is 6520212.

It is an interprime number because it is at equal distance from previous prime (2120249) and next prime (2120263).

It can be written as a sum of positive squares in only one way, i.e., 2073600 + 46656 = 1440^2 + 216^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4980 + ... + 5388.

2^2120256 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 2120256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150235).

2120256 is an abundant number, since it is smaller than the sum of its proper divisors (4180214).

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

2120256 is an equidigital number, since it uses as much as digits as its factorization.

2120256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2120256 is about 1456.1098859633. The cubic root of 2120256 is about 128.4683364075.

Adding to 2120256 its reverse (6520212), we get a palindrome (8640468).

The spelling of 2120256 in words is "two million, one hundred twenty thousand, two hundred fifty-six".