2504350414041 has 64 divisors (see below), whose sum is σ = 3961201950720. Its totient is φ = 1377006462720.

The previous prime is 2504350414009. The next prime is 2504350414057. The reversal of 2504350414041 is 1404140534052.

It is a happy number.

It is not a de Polignac number, because 2504350414041 - 2⁵ = 2504350414009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2504350413993 and 2504350414011.

It is not an unprimeable number, because it can be changed into a prime (2504350414091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 357097651 + ... + 357104663.

It is an arithmetic number, because the mean of its divisors is an integer number (61893780480).

Almost surely, 2^{2504350414041} is an apocalyptic number.

2504350414041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2504350414041 is a deficient number, since it is larger than the sum of its proper divisors (1456851536679).

2504350414041 is a wasteful number, since it uses less digits than its factorization.

2504350414041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8966.

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 2504350414041 its reverse (1404140534052), we get a palindrome (3908490948093).

The spelling of 2504350414041 in words is "two trillion, five hundred four billion, three hundred fifty million, four hundred fourteen thousand, forty-one".