254202214640 has 160 divisors (see below), whose sum is σ = 666891601920. Its totient is φ = 89274700800.

The previous prime is 254202214627. The next prime is 254202214649. The reversal of 254202214640 is 46412202452.

It is a junction number, because it is equal to n+sod(n) for n = 254202214597 and 254202214606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254202214649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13876367 + ... + 13894673.

It is an arithmetic number, because the mean of its divisors is an integer number (4168072512).

Almost surely, 2^254202214640 is an apocalyptic number.

254202214640 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 254202214640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333445800960).

254202214640 is an abundant number, since it is smaller than the sum of its proper divisors (412689387280).

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

254202214640 is a wasteful number, since it uses less digits than its factorization.

254202214640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18871 (or 18865 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The spelling of 254202214640 in words is "two hundred fifty-four billion, two hundred two million, two hundred fourteen thousand, six hundred forty".