254339979264 has 960 divisors, whose sum is σ = 924712588800. Its totient is φ = 68085743616.

The previous prime is 254339979203. The next prime is 254339979269. The reversal of 254339979264 is 462979933452.

254339979264 is a `hidden beast` number, since 25 + 433 + 9 + 97 + 92 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254339979269) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2377009099 + ... + 2377009205.

It is an arithmetic number, because the mean of its divisors is an integer number (963242280).

Almost surely, 2^254339979264 is an apocalyptic number.

254339979264 is a gapful number since it is divisible by the number (24) 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 254339979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462356294400).

254339979264 is an abundant number, since it is smaller than the sum of its proper divisors (670372609536).

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

254339979264 is a wasteful number, since it uses less digits than its factorization.

254339979264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 231 counting only the distinct ones).

The product of its digits is 88179840, while the sum is 63.

The spelling of 254339979264 in words is "two hundred fifty-four billion, three hundred thirty-nine million, nine hundred seventy-nine thousand, two hundred sixty-four".