2253888 has 168 divisors, whose sum is σ = 8136128. Its totient is φ = 580608.

The previous prime is 2253887. The next prime is 2253899. The reversal of 2253888 is 8883522.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×2253888² = 10160022233088, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2 + 2¹⁰ + 5⁹ + 3⁶ + 8⁴ + 8⁵ + 8⁶ .

It is not an unprimeable number, because it can be changed into a prime (2253887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52395 + ... + 52437.

2^2253888 is an apocalyptic number.

2253888 is a gapful number since it is divisible by the number (28) 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 2253888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068064).

2253888 is an abundant number, since it is smaller than the sum of its proper divisors (5882240).

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

2253888 is a wasteful number, since it uses less digits than its factorization.

2253888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 68 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 2253888 is about 1501.2954406112. The cubic root of 2253888 is about 131.1125036293.

The spelling of 2253888 in words is "two million, two hundred fifty-three thousand, eight hundred eighty-eight".