2254560 has 192 divisors, whose sum is σ = 8999424. Its totient is φ = 460800.

The previous prime is 2254541. The next prime is 2254579. The reversal of 2254560 is 654522.

It is an interprime number because it is at equal distance from previous prime (2254541) and next prime (2254579).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2⁷ + 2²¹ + 5⁷ + 4⁵ + 5⁷ + 6 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 2254560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36930 + ... + 36990.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

2^2254560 is an apocalyptic number.

2254560 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 2254560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499712).

2254560 is an abundant number, since it is smaller than the sum of its proper divisors (6744864).

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

2254560 is a wasteful number, since it uses less digits than its factorization.

2254560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2254560 is about 1501.5192306461. The cubic root of 2254560 is about 131.1255327960.

The spelling of 2254560 in words is "two million, two hundred fifty-four thousand, five hundred sixty".