2251920 has 80 divisors (see below), whose sum is σ = 7624512. Its totient is φ = 545280.

The previous prime is 2251913. The next prime is 2251927. The reversal of 2251920 is 291522.

It is an interprime number because it is at equal distance from previous prime (2251913) and next prime (2251927).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2251920² = 10142287372800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2214 + ... + 3066.

2^2251920 is an apocalyptic number.

2251920 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 2251920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3812256).

2251920 is an abundant number, since it is smaller than the sum of its proper divisors (5372592).

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

2251920 is a wasteful number, since it uses less digits than its factorization.

2251920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2251920 is about 1500.6398635249. The cubic root of 2251920 is about 131.0743318799.

It can be divided in two parts, 225 and 1920, that added together give a triangular number (2145 = T₆₅).

The spelling of 2251920 in words is "two million, two hundred fifty-one thousand, nine hundred twenty".