254131020 has 240 divisors, whose sum is σ = 937446048. Its totient is φ = 56816640.

The previous prime is 254131019. The next prime is 254131051. The reversal of 254131020 is 20131452.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 254130984 and 254131002.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 231112 + ... + 232208.

Almost surely, 2^254131020 is an apocalyptic number.

254131020 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 254131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468723024).

254131020 is an abundant number, since it is smaller than the sum of its proper divisors (683315028).

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

254131020 is a wasteful number, since it uses less digits than its factorization.

254131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 254131020 is about 15941.4873835536. The cubic root of 254131020 is about 633.4114258891.

Adding to 254131020 its reverse (20131452), we get a palindrome (274262472).

The spelling of 254131020 in words is "two hundred fifty-four million, one hundred thirty-one thousand, twenty".