2525409030144 has 1664 divisors, whose sum is σ = 9638340526080. Its totient is φ = 566938828800.

The previous prime is 2525409030121. The next prime is 2525409030167. The reversal of 2525409030144 is 4410309045252.

It is an interprime number because it is at equal distance from previous prime (2525409030121) and next prime (2525409030167).

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 127 ways as a sum of consecutive naturals, for example, 14108430247 + ... + 14108430425.

Almost surely, 2^{2525409030144} is an apocalyptic number.

2525409030144 is a gapful number since it is divisible by the number (24) 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 2525409030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4819170263040).

2525409030144 is an abundant number, since it is smaller than the sum of its proper divisors (7112931495936).

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

2525409030144 is a wasteful number, since it uses less digits than its factorization.

2525409030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 2525409030144 in words is "two trillion, five hundred twenty-five billion, four hundred nine million, thirty thousand, one hundred forty-four".