254101040 has 80 divisors (see below), whose sum is σ = 628834752. Its totient is φ = 95158272.

The previous prime is 254101037. The next prime is 254101063. The reversal of 254101040 is 40101452.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349157 + ... + 349883.

Almost surely, 2^254101040 is an apocalyptic number.

254101040 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 254101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314417376).

254101040 is an abundant number, since it is smaller than the sum of its proper divisors (374733712).

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

254101040 is a wasteful number, since it uses less digits than its factorization.

254101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 254101040 is about 15940.5470420560. The cubic root of 254101040 is about 633.3865169250.

Adding to 254101040 its reverse (40101452), we get a palindrome (294202492).

The spelling of 254101040 in words is "two hundred fifty-four million, one hundred one thousand, forty".