254390105640 has 256 divisors, whose sum is σ = 860159139840. Its totient is φ = 59628672000.

The previous prime is 254390105623. The next prime is 254390105663. The reversal of 254390105640 is 46501093452.

It is a Cunningham number, because it is equal to 504371²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66574930 + ... + 66578750.

It is an arithmetic number, because the mean of its divisors is an integer number (3359996640).

Almost surely, 2^254390105640 is an apocalyptic number.

254390105640 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 254390105640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430079569920).

254390105640 is an abundant number, since it is smaller than the sum of its proper divisors (605769034200).

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

254390105640 is a wasteful number, since it uses less digits than its factorization.

254390105640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 254390105640 in words is "two hundred fifty-four billion, three hundred ninety million, one hundred five thousand, six hundred forty".