254028471840 has 1536 divisors, whose sum is σ = 1091740446720. Its totient is φ = 54344908800.

The previous prime is 254028471817. The next prime is 254028471869. The reversal of 254028471840 is 48174820452.

254028471840 is a `hidden beast` number, since 2 + 540 + 28 + 4 + 7 + 1 + 84 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1939148575 + ... + 1939148705.

It is an arithmetic number, because the mean of its divisors is an integer number (710768520).

Almost surely, 2^254028471840 is an apocalyptic number.

254028471840 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 254028471840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545870223360).

254028471840 is an abundant number, since it is smaller than the sum of its proper divisors (837711974880).

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

254028471840 is a wasteful number, since it uses less digits than its factorization.

254028471840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 254028471840 in words is "two hundred fifty-four billion, twenty-eight million, four hundred seventy-one thousand, eight hundred forty".