2253960 has 64 divisors (see below), whose sum is σ = 7516800. Its totient is φ = 600768.

The previous prime is 2253959. The next prime is 2253971. The reversal of 2253960 is 693522.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37 + ... + 2123.

It is an arithmetic number, because the mean of its divisors is an integer number (117450).

2^2253960 is an apocalyptic number.

2253960 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 2253960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758400).

2253960 is an abundant number, since it is smaller than the sum of its proper divisors (5262840).

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

2253960 is a wasteful number, since it uses less digits than its factorization.

2253960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2253960 is about 1501.3194197105. The cubic root of 2253960 is about 131.1138997353.

The spelling of 2253960 in words is "two million, two hundred fifty-three thousand, nine hundred sixty".