254270756040 has 256 divisors, whose sum is σ = 881262789120. Its totient is φ = 57490268160.

The previous prime is 254270756039. The next prime is 254270756041. The reversal of 254270756040 is 40657072452.

It is an interprime number because it is at equal distance from previous prime (254270756039) and next prime (254270756041).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 254270755983 and 254270756001.

It is not an unprimeable number, because it can be changed into a prime (254270756041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33714670 + ... + 33722210.

It is an arithmetic number, because the mean of its divisors is an integer number (3442432770).

Almost surely, 2^254270756040 is an apocalyptic number.

254270756040 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 254270756040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440631394560).

254270756040 is an abundant number, since it is smaller than the sum of its proper divisors (626992033080).

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

254270756040 is a wasteful number, since it uses less digits than its factorization.

254270756040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7992 (or 7988 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The spelling of 254270756040 in words is "two hundred fifty-four billion, two hundred seventy million, seven hundred fifty-six thousand, forty".