2025244134000 has 480 divisors, whose sum is σ = 7352613777600. Its totient is φ = 538804224000.

The previous prime is 2025244133947. The next prime is 2025244134061. The reversal of 2025244134000 is 4314425202.

2025244134000 is a `hidden beast` number, since 2 + 0 + 2 + 5 + 244 + 13 + 400 + 0 = 666.

It is a super-2 number, since 2×2025244134000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218209360 + ... + 218218640.

It is an arithmetic number, because the mean of its divisors is an integer number (15317945370).

Almost surely, 2^{2025244134000} is an apocalyptic number.

2025244134000 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 2025244134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676306888800).

2025244134000 is an abundant number, since it is smaller than the sum of its proper divisors (5327369643600).

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

2025244134000 is an equidigital number, since it uses as much as digits as its factorization.

2025244134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9768 (or 9740 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 2025244134000 its reverse (4314425202), we get a palindrome (2029558559202).

The spelling of 2025244134000 in words is "two trillion, twenty-five billion, two hundred forty-four million, one hundred thirty-four thousand".