254982840000 has 280 divisors, whose sum is σ = 963469191168. Its totient is φ = 58281600000.

The previous prime is 254982839971. The next prime is 254982840001. The reversal of 254982840000 is 48289452.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (254982840001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 688225 + ... + 991775.

Almost surely, 2^254982840000 is an apocalyptic number.

254982840000 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 254982840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481734595584).

254982840000 is an abundant number, since it is smaller than the sum of its proper divisors (708486351168).

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

254982840000 is an equidigital number, since it uses as much as digits as its factorization.

254982840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303593 (or 303568 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 254982840000 in words is "two hundred fifty-four billion, nine hundred eighty-two million, eight hundred forty thousand".