2254621824 has 512 divisors, whose sum is σ = 8389785600. Its totient is φ = 580276224.

The previous prime is 2254621823. The next prime is 2254621829. The reversal of 2254621824 is 4281264522.

2254621824 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 621 + 8 + 24 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2254621823) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 21071179 + ... + 21071285.

It is an arithmetic number, because the mean of its divisors is an integer number (16386300).

Almost surely, 2^2254621824 is an apocalyptic number.

2254621824 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 2254621824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194892800).

2254621824 is an abundant number, since it is smaller than the sum of its proper divisors (6135163776).

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

2254621824 is a wasteful number, since it uses less digits than its factorization.

2254621824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 199 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 2254621824 is about 47482.8582122012. The cubic root of 2254621824 is about 1311.2673134931.

The spelling of 2254621824 in words is "two billion, two hundred fifty-four million, six hundred twenty-one thousand, eight hundred twenty-four".