258049962240 has 1296 divisors, whose sum is σ = 1054695660480. Its totient is φ = 53539799040.

The previous prime is 258049962161. The next prime is 258049962257. The reversal of 258049962240 is 42269940852.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1969846975 + ... + 1969847105.

It is an arithmetic number, because the mean of its divisors is an integer number (813808380).

Almost surely, 2^258049962240 is an apocalyptic number.

258049962240 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 258049962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527347830240).

258049962240 is an abundant number, since it is smaller than the sum of its proper divisors (796645698240).

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

258049962240 is a wasteful number, since it uses less digits than its factorization.

258049962240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 258049962240 in words is "two hundred fifty-eight billion, forty-nine million, nine hundred sixty-two thousand, two hundred forty".