2504346123234 has 48 divisors (see below), whose sum is σ = 5174790416640. Its totient is φ = 807146604000.

The previous prime is 2504346123233. The next prime is 2504346123241. The reversal of 2504346123234 is 4323216434052.

2504346123234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2504346123234² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2504346123192 and 2504346123201.

It is not an unprimeable number, because it can be changed into a prime (2504346123233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 981710259 + ... + 981712809.

It is an arithmetic number, because the mean of its divisors is an integer number (107808133680).

Almost surely, 2^{2504346123234} is an apocalyptic number.

2504346123234 is an abundant number, since it is smaller than the sum of its proper divisors (2670444293406).

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

2504346123234 is an equidigital number, since it uses as much as digits as its factorization.

2504346123234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7207 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

The spelling of 2504346123234 in words is "two trillion, five hundred four billion, three hundred forty-six million, one hundred twenty-three thousand, two hundred thirty-four".