254151040 has 128 divisors (see below), whose sum is σ = 714057120. Its totient is φ = 85278720.

The previous prime is 254151031. The next prime is 254151061. The reversal of 254151040 is 40151452.

254151040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×254151040² = 129185502266163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 90132 + ... + 92908.

Almost surely, 2^254151040 is an apocalyptic number.

254151040 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 254151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357028560).

254151040 is an abundant number, since it is smaller than the sum of its proper divisors (459906080).

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

254151040 is a wasteful number, since it uses less digits than its factorization.

254151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 254151040 is about 15942.1152925200. The cubic root of 254151040 is about 633.4280584694.

The spelling of 254151040 in words is "two hundred fifty-four million, one hundred fifty-one thousand, forty".