2479527542016 has 360 divisors, whose sum is σ = 8469446156864. Its totient is φ = 706782412800.

The previous prime is 2479527541973. The next prime is 2479527542027. The reversal of 2479527542016 is 6102457259742.

It is a happy number.

2479527542016 is a `hidden beast` number, since 2 + 4 + 7 + 95 + 2 + 7 + 542 + 0 + 1 + 6 = 666.

It is a super-2 number, since 2×2479527542016² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 62831091 + ... + 62870541.

Almost surely, 2^{2479527542016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2479527542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4234723078432).

2479527542016 is an abundant number, since it is smaller than the sum of its proper divisors (5989918614848).

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

2479527542016 is an equidigital number, since it uses as much as digits as its factorization.

2479527542016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39919 (or 39896 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 2479527542016 in words is "two trillion, four hundred seventy-nine billion, five hundred twenty-seven million, five hundred forty-two thousand, sixteen".