2401206756480 has 1152 divisors, whose sum is σ = 10161776177280. Its totient is φ = 519927496704.

The previous prime is 2401206756469. The next prime is 2401206756517. The reversal of 2401206756480 is 846576021042.

2401206756480 is a `hidden beast` number, since 2 + 4 + 0 + 1 + 2 + 0 + 6 + 7 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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, 694590912 + ... + 694594368.

It is an arithmetic number, because the mean of its divisors is an integer number (8820986265).

Almost surely, 2^{2401206756480} is an apocalyptic number.

2401206756480 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 2401206756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080888088640).

2401206756480 is an abundant number, since it is smaller than the sum of its proper divisors (7760569420800).

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

2401206756480 is a wasteful number, since it uses less digits than its factorization.

2401206756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2401206756480 in words is "two trillion, four hundred one billion, two hundred six million, seven hundred fifty-six thousand, four hundred eighty".