254079000000 has 1176 divisors, whose sum is σ = 1078295572640. Its totient is φ = 55987200000.

The previous prime is 254078999971. The next prime is 254079000013. The reversal of 254079000000 is 970452.

It is a super-2 number, since 2×254079000000² (a number of 24 digits) contains 22 as substring.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 254079000000 = 1180³ + 6320³ = 2150³ + 6250³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2330999946 + ... + 2331000054.

Almost surely, 2^254079000000 is an apocalyptic number.

254079000000 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 254079000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539147786320).

254079000000 is an abundant number, since it is smaller than the sum of its proper divisors (824216572640).

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

254079000000 is an equidigital number, since it uses as much as digits as its factorization.

254079000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 254079000000 its reverse (970452), we get a palindrome (254079970452).

The spelling of 254079000000 in words is "two hundred fifty-four billion, seventy-nine million", and thus it is an aban number.