2525259930120 has 320 divisors, whose sum is σ = 8594908542000. Its totient is φ = 664916262912.

The previous prime is 2525259930077. The next prime is 2525259930139. The reversal of 2525259930120 is 210399525252.

It is a happy number.

2525259930120 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 2 + 599 + 30 + 1 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 107900424324 + 2417359505796 = 328482^2 + 1554786^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 222896616 + ... + 222907944.

Almost surely, 2^{2525259930120} is an apocalyptic number.

2525259930120 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 2525259930120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4297454271000).

2525259930120 is an abundant number, since it is smaller than the sum of its proper divisors (6069648611880).

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

2525259930120 is a wasteful number, since it uses less digits than its factorization.

2525259930120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12214 (or 12201 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 2525259930120 in words is "two trillion, five hundred twenty-five billion, two hundred fifty-nine million, nine hundred thirty thousand, one hundred twenty".