254640846960 has 240 divisors, whose sum is σ = 933519000960. Its totient is φ = 64330225920.

The previous prime is 254640846959. The next prime is 254640846989. The reversal of 254640846960 is 69648046452.

254640846960 is a `hidden beast` number, since 2 + 546 + 4 + 0 + 8 + 4 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×254640846960² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 254640846897 and 254640846906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24655 + ... + 714065.

It is an arithmetic number, because the mean of its divisors is an integer number (3889662504).

Almost surely, 2^254640846960 is an apocalyptic number.

254640846960 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 254640846960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466759500480).

254640846960 is an abundant number, since it is smaller than the sum of its proper divisors (678878154000).

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

254640846960 is a wasteful number, since it uses less digits than its factorization.

254640846960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689458 (or 689440 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 254640846960 in words is "two hundred fifty-four billion, six hundred forty million, eight hundred forty-six thousand, nine hundred sixty".