2253031680 has 144 divisors (see below), whose sum is σ = 7283344320. Its totient is φ = 593485824.

The previous prime is 2253031667. The next prime is 2253031681. The reversal of 2253031680 is 861303522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2253031681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315186 + ... + 322254.

It is an arithmetic number, because the mean of its divisors is an integer number (50578780).

Almost surely, 2^2253031680 is an apocalyptic number.

2253031680 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 2253031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641672160).

2253031680 is an abundant number, since it is smaller than the sum of its proper divisors (5030312640).

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

2253031680 is an equidigital number, since it uses as much as digits as its factorization.

2253031680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7176 (or 7162 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2253031680 is about 47466.1108581691. The cubic root of 2253031680 is about 1310.9589699509.

The spelling of 2253031680 in words is "two billion, two hundred fifty-three million, thirty-one thousand, six hundred eighty".