2425127738976 has 192 divisors, whose sum is σ = 7091265182400. Its totient is φ = 806324502528.

The previous prime is 2425127738947. The next prime is 2425127738981. The reversal of 2425127738976 is 6798377215242.

It is a happy number.

2425127738976 is a `hidden beast` number, since 2 + 42 + 512 + 7 + 7 + 3 + 8 + 9 + 76 = 666.

Its product of digits (71124480) is a multiple of the sum of its prime divisors (5184).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 745503366 + ... + 745506618.

It is an arithmetic number, because the mean of its divisors is an integer number (36933672825).

Almost surely, 2^{2425127738976} 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 2425127738976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545632591200).

2425127738976 is an abundant number, since it is smaller than the sum of its proper divisors (4666137443424).

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

2425127738976 is a wasteful number, since it uses less digits than its factorization.

2425127738976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5198 (or 5184 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The spelling of 2425127738976 in words is "two trillion, four hundred twenty-five billion, one hundred twenty-seven million, seven hundred thirty-eight thousand, nine hundred seventy-six".