2254301760 has 224 divisors, whose sum is σ = 7521488640. Its totient is φ = 572030976.

The previous prime is 2254301717. The next prime is 2254301761. The reversal of 2254301760 is 671034522.

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 (2254301761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11680224 + ... + 11680416.

Almost surely, 2^2254301760 is an apocalyptic number.

2254301760 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 2254301760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3760744320).

2254301760 is an abundant number, since it is smaller than the sum of its proper divisors (5267186880).

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

2254301760 is an equidigital number, since it uses as much as digits as its factorization.

2254301760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2254301760 is about 47479.4877815673. The cubic root of 2254301760 is about 1311.2052617973.

The spelling of 2254301760 in words is "two billion, two hundred fifty-four million, three hundred one thousand, seven hundred sixty".