2467493879328 has 576 divisors, whose sum is σ = 7918657044480. Its totient is φ = 724250419200.

The previous prime is 2467493879297. The next prime is 2467493879339. The reversal of 2467493879328 is 8239783947642.

2467493879328 is a `hidden beast` number, since 2 + 4 + 67 + 493 + 8 + 79 + 3 + 2 + 8 = 666.

It is a super-4 number, since 4×2467493879328⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3910449573 + ... + 3910450203.

It is an arithmetic number, because the mean of its divisors is an integer number (13747668480).

Almost surely, 2^{2467493879328} 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 2467493879328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959328522240).

2467493879328 is an abundant number, since it is smaller than the sum of its proper divisors (5451163165152).

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

2467493879328 is a wasteful number, since it uses less digits than its factorization.

2467493879328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1130 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 2467493879328 in words is "two trillion, four hundred sixty-seven billion, four hundred ninety-three million, eight hundred seventy-nine thousand, three hundred twenty-eight".