2253285468 has 432 divisors, whose sum is σ = 7668670464. Its totient is φ = 543697920.

The previous prime is 2253285467. The next prime is 2253285511. The reversal of 2253285468 is 8645823522.

2253285468 is a `hidden beast` number, since 2 + 2 + 532 + 8 + 54 + 68 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (921600) is a multiple of the sum of its prime factors (150).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253285467) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47942221 + ... + 47942267.

It is an arithmetic number, because the mean of its divisors is an integer number (17751552).

Almost surely, 2^2253285468 is an apocalyptic number.

2253285468 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 2253285468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3834335232).

2253285468 is an abundant number, since it is smaller than the sum of its proper divisors (5415384996).

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

2253285468 is a wasteful number, since it uses less digits than its factorization.

2253285468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 126 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 2253285468 is about 47468.7841428449. The cubic root of 2253285468 is about 1311.0081915052.

The spelling of 2253285468 in words is "two billion, two hundred fifty-three million, two hundred eighty-five thousand, four hundred sixty-eight".