2467880397792 has 120 divisors (see below), whose sum is σ = 7258994919792. Its totient is φ = 822510374400.

The previous prime is 2467880397709. The next prime is 2467880397793. The reversal of 2467880397792 is 2977930887642.

2467880397792 is a `hidden beast` number, since 2 + 4 + 6 + 78 + 80 + 397 + 7 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2467880397792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2467880397793) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19327117 + ... + 19454387.

Almost surely, 2^{2467880397792} 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 2467880397792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629497459896).

2467880397792 is an abundant number, since it is smaller than the sum of its proper divisors (4791114522000).

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

2467880397792 is a wasteful number, since it uses less digits than its factorization.

2467880397792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134774 (or 134757 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 2467880397792 in words is "two trillion, four hundred sixty-seven billion, eight hundred eighty million, three hundred ninety-seven thousand, seven hundred ninety-two".