2425258869120 has 320 divisors, whose sum is σ = 8693047218240. Its totient is φ = 644345487360.

The previous prime is 2425258869119. The next prime is 2425258869167. The reversal of 2425258869120 is 219688525242.

2425258869120 is a `hidden beast` number, since 2 + 4 + 2 + 52 + 588 + 6 + 9 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13962324 + ... + 14134956.

It is an arithmetic number, because the mean of its divisors is an integer number (27165772557).

Almost surely, 2^{2425258869120} is an apocalyptic number.

2425258869120 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 2425258869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346523609120).

2425258869120 is an abundant number, since it is smaller than the sum of its proper divisors (6267788349120).

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

2425258869120 is a wasteful number, since it uses less digits than its factorization.

2425258869120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172935 (or 172914 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 2425258869120 in words is "two trillion, four hundred twenty-five billion, two hundred fifty-eight million, eight hundred sixty-nine thousand, one hundred twenty".