2254307993280 has 1680 divisors, whose sum is σ = 9784399527936. Its totient is φ = 482520084480.

The previous prime is 2254307993239. The next prime is 2254307993317. The reversal of 2254307993280 is 823997034522.

2254307993280 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 307 + 9 + 9 + 328 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×2254307993280² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8318479545 + ... + 8318479815.

Almost surely, 2^{2254307993280} is an apocalyptic number.

2254307993280 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 2254307993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4892199763968).

2254307993280 is an abundant number, since it is smaller than the sum of its proper divisors (7530091534656).

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

2254307993280 is a wasteful number, since it uses less digits than its factorization.

2254307993280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2254307993280 in words is "two trillion, two hundred fifty-four billion, three hundred seven million, nine hundred ninety-three thousand, two hundred eighty".