2479284420192 has 336 divisors, whose sum is σ = 7506330607440. Its totient is φ = 805245235200.

The previous prime is 2479284420161. The next prime is 2479284420203. The reversal of 2479284420192 is 2910244829742.

2479284420192 is a `hidden beast` number, since 2 + 4 + 7 + 9 + 2 + 8 + 442 + 0 + 192 = 666.

It is a super-2 number, since 2×2479284420192² (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 55 ways as a sum of consecutive naturals, for example, 1232860467 + ... + 1232862477.

It is an arithmetic number, because the mean of its divisors is an integer number (22340269665).

Almost surely, 2^{2479284420192} 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 2479284420192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753165303720).

2479284420192 is an abundant number, since it is smaller than the sum of its proper divisors (5027046187248).

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

2479284420192 is a wasteful number, since it uses less digits than its factorization.

2479284420192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2479284420192 in words is "two trillion, four hundred seventy-nine billion, two hundred eighty-four million, four hundred twenty thousand, one hundred ninety-two".