2254056000 has 224 divisors, whose sum is σ = 8506797312. Its totient is φ = 515174400.

The previous prime is 2254055981. The next prime is 2254056067. The reversal of 2254056000 is 6504522.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2254056000² = 10161536902272000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161292 + ... + 174708.

Almost surely, 2^2254056000 is an apocalyptic number.

2254056000 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 2254056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253398656).

2254056000 is an abundant number, since it is smaller than the sum of its proper divisors (6252741312).

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

2254056000 is a wasteful number, since it uses less digits than its factorization.

2254056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13454 (or 13434 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2254056000 is about 47476.8996460384. The cubic root of 2254056000 is about 1311.1576116377.

The spelling of 2254056000 in words is "two billion, two hundred fifty-four million, fifty-six thousand".