2503120411456 has 112 divisors (see below), whose sum is σ = 5823919816704. Its totient is φ = 1045078949376.

The previous prime is 2503120411439. The next prime is 2503120411457. The reversal of 2503120411456 is 6541140213052.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2503120411456² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2503120411457) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7208481 + ... + 7547743.

Almost surely, 2^{2503120411456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2503120411456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911959908352).

2503120411456 is an abundant number, since it is smaller than the sum of its proper divisors (3320799405248).

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

2503120411456 is a wasteful number, since it uses less digits than its factorization.

2503120411456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339708 (or 339698 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 2503120411456 in words is "two trillion, five hundred three billion, one hundred twenty million, four hundred eleven thousand, four hundred fifty-six".