254780233290 has 192 divisors, whose sum is σ = 739335796992. Its totient is φ = 60354201600.

The previous prime is 254780233277. The next prime is 254780233303. The reversal of 254780233290 is 92332087452.

254780233290 is a `hidden beast` number, since 2 + 54 + 7 + 80 + 233 + 290 = 666.

254780233290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (254780233277) and next prime (254780233303).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7926732 + ... + 7958808.

It is an arithmetic number, because the mean of its divisors is an integer number (3850707276).

Almost surely, 2^254780233290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254780233290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369667898496).

254780233290 is an abundant number, since it is smaller than the sum of its proper divisors (484555563702).

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

254780233290 is a wasteful number, since it uses less digits than its factorization.

254780233290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32285 (or 32282 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 254780233290 in words is "two hundred fifty-four billion, seven hundred eighty million, two hundred thirty-three thousand, two hundred ninety".