246007406240 has 96 divisors (see below), whose sum is σ = 602058880080. Its totient is φ = 94923980800.

The previous prime is 246007406231. The next prime is 246007406263. The reversal of 246007406240 is 42604700642.

246007406240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3348705424 + 242658700816 = 57868^2 + 492604^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 246007406240.

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 15 ways as a sum of consecutive naturals, for example, 373160 + ... + 794520.

Almost surely, 2^246007406240 is an apocalyptic number.

246007406240 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 246007406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301029440040).

246007406240 is an abundant number, since it is smaller than the sum of its proper divisors (356051473840).

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

246007406240 is a wasteful number, since it uses less digits than its factorization.

246007406240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421506 (or 421498 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

The spelling of 246007406240 in words is "two hundred forty-six billion, seven million, four hundred six thousand, two hundred forty".