254613490560 has 1024 divisors, whose sum is σ = 1067476838400. Its totient is φ = 56543477760.

The previous prime is 254613490553. The next prime is 254613490561. The reversal of 254613490560 is 65094316452.

254613490560 is a `hidden beast` number, since 2 + 5 + 46 + 1 + 3 + 49 + 0 + 560 = 666.

It is a super-2 number, since 2×254613490560² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254613490561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 412663372 + ... + 412663988.

It is an arithmetic number, because the mean of its divisors is an integer number (1042457850).

Almost surely, 2^254613490560 is an apocalyptic number.

254613490560 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 254613490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533738419200).

254613490560 is an abundant number, since it is smaller than the sum of its proper divisors (812863347840).

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

254613490560 is a wasteful number, since it uses less digits than its factorization.

254613490560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 254613490560 in words is "two hundred fifty-four billion, six hundred thirteen million, four hundred ninety thousand, five hundred sixty".