2405601000000 has 1323 divisors, whose sum is σ = 9679540768261. Its totient is φ = 570768000000.

The previous prime is 2405600999927. The next prime is 2405601000037. The reversal of 2405601000000 is 1065042.

It is a happy number.

The square root of 2405601000000 is 1551000.

It is a perfect power (a square), and thus also a powerful number.

2405601000000 is a `hidden beast` number, since 2 + 4 + 0 + 560 + 100 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2107537413696 + 298063586304 = 1451736^2 + 545952^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian 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 188 ways as a sum of consecutive naturals, for example, 51182999977 + ... + 51183000023.

Almost surely, 2^{2405601000000} is an apocalyptic number.

2405601000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2405601000000 is the 1551000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2405601000000

2405601000000 is an abundant number, since it is smaller than the sum of its proper divisors (7273939768261).

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

2405601000000 is an frugal number, since it uses more digits than its factorization.

2405601000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 2405601000000 its reverse (1065042), we get a palindrome (2405602065042).

The spelling of 2405601000000 in words is "two trillion, four hundred five billion, six hundred one million", and thus it is an aban number.