2254316430080 has 288 divisors, whose sum is σ = 6347542743360. Its totient is φ = 756248739840.

The previous prime is 2254316430029. The next prime is 2254316430101. The reversal of 2254316430080 is 800346134522.

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, 499513904 + ... + 499518416.

It is an arithmetic number, because the mean of its divisors is an integer number (22040078970).

Almost surely, 2^{2254316430080} is an apocalyptic number.

2254316430080 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 2254316430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173771371680).

2254316430080 is an abundant number, since it is smaller than the sum of its proper divisors (4093226313280).

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

2254316430080 is a wasteful number, since it uses less digits than its factorization.

2254316430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7287 (or 7273 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 2254316430080 in words is "two trillion, two hundred fifty-four billion, three hundred sixteen million, four hundred thirty thousand, eighty".