2401506490680 has 576 divisors, whose sum is σ = 9022292697600. Its totient is φ = 573963667200.

The previous prime is 2401506490667. The next prime is 2401506490697. The reversal of 2401506490680 is 860946051042.

2401506490680 is a `hidden beast` number, since 2 + 4 + 0 + 150 + 6 + 490 + 6 + 8 + 0 = 666.

2401506490680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83490141 + ... + 83518899.

It is an arithmetic number, because the mean of its divisors is an integer number (15663702600).

Almost surely, 2^{2401506490680} is an apocalyptic number.

2401506490680 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 2401506490680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511146348800).

2401506490680 is an abundant number, since it is smaller than the sum of its proper divisors (6620786206920).

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

2401506490680 is a wasteful number, since it uses less digits than its factorization.

2401506490680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28878 (or 28851 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2401506490680 in words is "two trillion, four hundred one billion, five hundred six million, four hundred ninety thousand, six hundred eighty".