2254319464320 has 2304 divisors, whose sum is σ = 10396213401600. Its totient is φ = 444513484800.

The previous prime is 2254319464277. The next prime is 2254319464343. The reversal of 2254319464320 is 234649134522.

2254319464320 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 319 + 4 + 6 + 4 + 320 = 666.

2254319464320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5678386362 + ... + 5678386758.

It is an arithmetic number, because the mean of its divisors is an integer number (4512245400).

Almost surely, 2^{2254319464320} is an apocalyptic number.

2254319464320 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 2254319464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198106700800).

2254319464320 is an abundant number, since it is smaller than the sum of its proper divisors (8141893937280).

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

2254319464320 is a wasteful number, since it uses less digits than its factorization.

2254319464320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 2254319464320 in words is "two trillion, two hundred fifty-four billion, three hundred nineteen million, four hundred sixty-four thousand, three hundred twenty".