2251704420 has 480 divisors, whose sum is σ = 8606062080. Its totient is φ = 481904640.

The previous prime is 2251704409. The next prime is 2251704457. The reversal of 2251704420 is 244071522.

2251704420 is a `hidden beast` number, since 225 + 17 + 0 + 4 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13483177 + ... + 13483343.

It is an arithmetic number, because the mean of its divisors is an integer number (17929296).

Almost surely, 2^2251704420 is an apocalyptic number.

2251704420 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 2251704420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303031040).

2251704420 is an abundant number, since it is smaller than the sum of its proper divisors (6354357660).

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

2251704420 is a wasteful number, since it uses less digits than its factorization.

2251704420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 2251704420 is about 47452.1276656801. The cubic root of 2251704420 is about 1310.7014909277.

Adding to 2251704420 its reverse (244071522), we get a palindrome (2495775942).

The spelling of 2251704420 in words is "two billion, two hundred fifty-one million, seven hundred four thousand, four hundred twenty".