2025242051040 has 288 divisors, whose sum is σ = 7449800510880. Its totient is φ = 498049855488.

The previous prime is 2025242051029. The next prime is 2025242051047. The reversal of 2025242051040 is 401502425202.

2025242051040 is a `hidden beast` number, since 20 + 2 + 52 + 42 + 0 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 2025242050995 and 2025242051013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025242051047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19961079 + ... + 20062281.

It is an arithmetic number, because the mean of its divisors is an integer number (25867362885).

Almost surely, 2^{2025242051040} is an apocalyptic number.

2025242051040 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 2025242051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3724900255440).

2025242051040 is an abundant number, since it is smaller than the sum of its proper divisors (5424558459840).

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

2025242051040 is a wasteful number, since it uses less digits than its factorization.

2025242051040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102306 (or 102295 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 2025242051040 its reverse (401502425202), we get a palindrome (2426744476242).

The spelling of 2025242051040 in words is "two trillion, twenty-five billion, two hundred forty-two million, fifty-one thousand, forty".