2467252399680 has 168 divisors, whose sum is σ = 8502011961144. Its totient is φ = 656717414400.

The previous prime is 2467252399643. The next prime is 2467252399687. The reversal of 2467252399680 is 869932527642.

It is a happy number.

2467252399680 is a `hidden beast` number, since 2 + 46 + 7 + 2 + 523 + 9 + 9 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 540330845184 + 1926921554496 = 735072^2 + 1388136^2 .

It is not an unprimeable number, because it can be changed into a prime (2467252399687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766320 + ... + 2349840.

Almost surely, 2^{2467252399680} is an apocalyptic number.

2467252399680 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 2467252399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251005980572).

2467252399680 is an abundant number, since it is smaller than the sum of its proper divisors (6034759561464).

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

2467252399680 is a wasteful number, since it uses less digits than its factorization.

2467252399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584085 (or 1584072 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 2467252399680 in words is "two trillion, four hundred sixty-seven billion, two hundred fifty-two million, three hundred ninety-nine thousand, six hundred eighty".