2454221440 has 192 divisors, whose sum is σ = 6701032800. Its totient is φ = 852346880.

The previous prime is 2454221411. The next prime is 2454221459. The reversal of 2454221440 is 441224542.

It is a junction number, because it is equal to n+sod(n) for n = 2454221399 and 2454221408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3723831 + ... + 3724489.

Almost surely, 2^2454221440 is an apocalyptic number.

2454221440 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 2454221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350516400).

2454221440 is an abundant number, since it is smaller than the sum of its proper divisors (4246811360).

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

2454221440 is a wasteful number, since it uses less digits than its factorization.

2454221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

The square root of 2454221440 is about 49540.0993135864. The cubic root of 2454221440 is about 1348.8735807420.

Adding to 2454221440 its reverse (441224542), we get a palindrome (2895445982).

The spelling of 2454221440 in words is "two billion, four hundred fifty-four million, two hundred twenty-one thousand, four hundred forty".