2505309119040 has 224 divisors, whose sum is σ = 9789977514240. Its totient is φ = 528592674816.

The previous prime is 2505309119023. The next prime is 2505309119059. The reversal of 2505309119040 is 409119035052.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2505309119040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14251635 + ... + 14426354.

It is an arithmetic number, because the mean of its divisors is an integer number (43705256760).

Almost surely, 2^{2505309119040} is an apocalyptic number.

2505309119040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505309119040 is an abundant number, since it is smaller than the sum of its proper divisors (7284668395200).

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

2505309119040 is a wasteful number, since it uses less digits than its factorization.

2505309119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28678029 (or 28678019 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The spelling of 2505309119040 in words is "two trillion, five hundred five billion, three hundred nine million, one hundred nineteen thousand, forty".