2254443840 has 280 divisors, whose sum is σ = 8749600992. Its totient is φ = 546462720.

The previous prime is 2254443827. The next prime is 2254443853. The reversal of 2254443840 is 483444522.

It is an interprime number because it is at equal distance from previous prime (2254443827) and next prime (2254443853).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2254443795 and 2254443804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 281167 + ... + 289073.

Almost surely, 2^2254443840 is an apocalyptic number.

2254443840 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 2254443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374800496).

2254443840 is an abundant number, since it is smaller than the sum of its proper divisors (6495157152).

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

2254443840 is a wasteful number, since it uses less digits than its factorization.

2254443840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7947 (or 7928 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The square root of 2254443840 is about 47480.9839830642. The cubic root of 2254443840 is about 1311.2328079660.

The spelling of 2254443840 in words is "two billion, two hundred fifty-four million, four hundred forty-three thousand, eight hundred forty".