2534356581120 has 3456 divisors, whose sum is σ = 12166790630400. Its totient is φ = 493618987008.

The previous prime is 2534356581083. The next prime is 2534356581157. The reversal of 2534356581120 is 211856534352.

It is a happy number.

2534356581120 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 3 + 56 + 581 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2534356581083) and next prime (2534356581157).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 30534416599 + ... + 30534416681.

It is an arithmetic number, because the mean of its divisors is an integer number (3520483400).

Almost surely, 2^{2534356581120} is an apocalyptic number.

2534356581120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2534356581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6083395315200).

2534356581120 is an abundant number, since it is smaller than the sum of its proper divisors (9632434049280).

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

2534356581120 is a wasteful number, since it uses less digits than its factorization.

2534356581120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 2534356581120 in words is "two trillion, five hundred thirty-four billion, three hundred fifty-six million, five hundred eighty-one thousand, one hundred twenty".