2401239919680 has 1512 divisors, whose sum is σ = 10571297539608. Its totient is φ = 516193026048.

The previous prime is 2401239919649. The next prime is 2401239919703. The reversal of 2401239919680 is 869199321042.

2401239919680 is a `hidden beast` number, since 240 + 1 + 2 + 399 + 1 + 9 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1255278233664 + 1145961686016 = 1120392^2 + 1070496^2 .

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent 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 215 ways as a sum of consecutive naturals, for example, 1748899474 + ... + 1748900846.

Almost surely, 2^{2401239919680} is an apocalyptic number.

2401239919680 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 2401239919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285648769804).

2401239919680 is an abundant number, since it is smaller than the sum of its proper divisors (8170057619928).

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

2401239919680 is an equidigital number, since it uses as much as digits as its factorization.

2401239919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 2401239919680 in words is "two trillion, four hundred one billion, two hundred thirty-nine million, nine hundred nineteen thousand, six hundred eighty".