2413484372160 has 560 divisors, whose sum is σ = 8923907028960. Its totient is φ = 618417192960.

The previous prime is 2413484372153. The next prime is 2413484372171. The reversal of 2413484372160 is 612734843142.

2413484372160 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 484 + 3 + 7 + 2 + 160 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 158596872 + ... + 158612088.

It is an arithmetic number, because the mean of its divisors is an integer number (15935548266).

Almost surely, 2^{2413484372160} is an apocalyptic number.

2413484372160 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 2413484372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4461953514480).

2413484372160 is an abundant number, since it is smaller than the sum of its proper divisors (6510422656800).

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

2413484372160 is a wasteful number, since it uses less digits than its factorization.

2413484372160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15486 (or 15467 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 2413484372160 in words is "two trillion, four hundred thirteen billion, four hundred eighty-four million, three hundred seventy-two thousand, one hundred sixty".