2251080 has 144 divisors (see below), whose sum is σ = 8136180. Its totient is φ = 539136.

The previous prime is 2251061. The next prime is 2251099. The reversal of 2251080 is 801522.

It is an interprime number because it is at equal distance from previous prime (2251061) and next prime (2251099).

It can be written as a sum of positive squares in 6 ways, for example, as 617796 + 1633284 = 786^2 + 1278^2 .

It is a super-2 number, since 2×2251080² = 10134722332800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60822 + ... + 60858.

2^2251080 is an apocalyptic number.

2251080 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 2251080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068090).

2251080 is an abundant number, since it is smaller than the sum of its proper divisors (5885100).

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

2251080 is a wasteful number, since it uses less digits than its factorization.

2251080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2251080 is about 1500.3599568104. The cubic root of 2251080 is about 131.0580322879.

The spelling of 2251080 in words is "two million, two hundred fifty-one thousand, eighty".