2401780960800 has 720 divisors, whose sum is σ = 9463759046280. Its totient is φ = 589254082560.

The previous prime is 2401780960763. The next prime is 2401780960801. The reversal of 2401780960800 is 80690871042.

2401780960800 is a `hidden beast` number, since 2 + 401 + 7 + 80 + 96 + 0 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 590248012176 + 1811532948624 = 768276^2 + 1345932^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2401780960800² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2401780960801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 263666646 + ... + 263675754.

Almost surely, 2^{2401780960800} is an apocalyptic number.

2401780960800 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 2401780960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4731879523140).

2401780960800 is an abundant number, since it is smaller than the sum of its proper divisors (7061978085480).

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

2401780960800 is a wasteful number, since it uses less digits than its factorization.

2401780960800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9467 (or 9445 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 2401780960800 in words is "two trillion, four hundred one billion, seven hundred eighty million, nine hundred sixty thousand, eight hundred".