2401980715008 has 1248 divisors, whose sum is σ = 8941819824000. Its totient is φ = 633187860480.

The previous prime is 2401980714953. The next prime is 2401980715009. The reversal of 2401980715008 is 8005170891042.

2401980715008 is a `hidden beast` number, since 2 + 401 + 98 + 0 + 7 + 150 + 0 + 8 = 666.

It is a super-2 number, since 2×2401980715008² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2401980715009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4221406948 + ... + 4221407516.

Almost surely, 2^{2401980715008} is an apocalyptic number.

2401980715008 is a gapful number since it is divisible by the number (28) 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 2401980715008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470909912000).

2401980715008 is an abundant number, since it is smaller than the sum of its proper divisors (6539839108992).

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

2401980715008 is a wasteful number, since it uses less digits than its factorization.

2401980715008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 2401980715008 in words is "two trillion, four hundred one billion, nine hundred eighty million, seven hundred fifteen thousand, eight".