2478088501434 has 192 divisors, whose sum is σ = 6667219593216. Its totient is φ = 647751261312.

The previous prime is 2478088501373. The next prime is 2478088501439. The reversal of 2478088501434 is 4341058808742.

2478088501434 is a `hidden beast` number, since 2 + 4 + 7 + 80 + 88 + 50 + 1 + 434 = 666.

2478088501434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2478088501434² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2478088501439) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94907409 + ... + 94933515.

It is an arithmetic number, because the mean of its divisors is an integer number (34725102048).

Almost surely, 2^{2478088501434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2478088501434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333609796608).

2478088501434 is an abundant number, since it is smaller than the sum of its proper divisors (4189131091782).

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

2478088501434 is a wasteful number, since it uses less digits than its factorization.

2478088501434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26649 (or 26646 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 2478088501434 in words is "two trillion, four hundred seventy-eight billion, eighty-eight million, five hundred one thousand, four hundred thirty-four".