2254846944 has 192 divisors, whose sum is σ = 6986552832. Its totient is φ = 623462400.

The previous prime is 2254846879. The next prime is 2254846961. The reversal of 2254846944 is 4496484522.

It is a super-2 number, since 2×2254846944² = 10168669481732278272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2254846893 and 2254846902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2746054 + ... + 2746874.

It is an arithmetic number, because the mean of its divisors is an integer number (36388296).

Almost surely, 2^2254846944 is an apocalyptic number.

2254846944 is a gapful number since it is divisible by the number (24) 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 2254846944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493276416).

2254846944 is an abundant number, since it is smaller than the sum of its proper divisors (4731705888).

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

2254846944 is a wasteful number, since it uses less digits than its factorization.

2254846944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 961 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 48.

The square root of 2254846944 is about 47485.2286927209. The cubic root of 2254846944 is about 1311.3109546144.

The spelling of 2254846944 in words is "two billion, two hundred fifty-four million, eight hundred forty-six thousand, nine hundred forty-four".