2534834760192 has 320 divisors, whose sum is σ = 8851814400000. Its totient is φ = 700875141120.

The previous prime is 2534834760187. The next prime is 2534834760193. The reversal of 2534834760192 is 2910674384352.

2534834760192 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 83 + 476 + 0 + 1 + 92 = 666.

It is a super-2 number, since 2×2534834760192² (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 not an unprimeable number, because it can be changed into a prime (2534834760193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2577309 + ... + 3422307.

It is an arithmetic number, because the mean of its divisors is an integer number (27661920000).

It is a 1-persistent number, because it is pandigital, but 2⋅2534834760192 = 5069669520384 is not.

Almost surely, 2^{2534834760192} 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 2534834760192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4425907200000).

2534834760192 is an abundant number, since it is smaller than the sum of its proper divisors (6316979639808).

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

2534834760192 is an equidigital number, since it uses as much as digits as its factorization.

2534834760192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845064 (or 845042 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2534834760192 in words is "two trillion, five hundred thirty-four billion, eight hundred thirty-four million, seven hundred sixty thousand, one hundred ninety-two".