254052825840 has 840 divisors, whose sum is σ = 1020567344688. Its totient is φ = 58293872640.

The previous prime is 254052825827. The next prime is 254052825853. The reversal of 254052825840 is 48528250452.

254052825840 is a `hidden beast` number, since 2 + 5 + 40 + 5 + 28 + 2 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (254052825827) and next prime (254052825853).

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 167 ways as a sum of consecutive naturals, for example, 231588172 + ... + 231589268.

Almost surely, 2^254052825840 is an apocalyptic number.

254052825840 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 254052825840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510283672344).

254052825840 is an abundant number, since it is smaller than the sum of its proper divisors (766514518848).

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

254052825840 is a wasteful number, since it uses less digits than its factorization.

254052825840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 45.

The spelling of 254052825840 in words is "two hundred fifty-four billion, fifty-two million, eight hundred twenty-five thousand, eight hundred forty".