2504102034 has 64 divisors (see below), whose sum is σ = 5933859840. Its totient is φ = 689290560.

The previous prime is 2504102009. The next prime is 2504102047. The reversal of 2504102034 is 4302014052.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2504102034.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 635049 + ... + 638979.

It is an arithmetic number, because the mean of its divisors is an integer number (92716560).

Almost surely, 2^2504102034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2504102034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966929920).

2504102034 is an abundant number, since it is smaller than the sum of its proper divisors (3429757806).

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

2504102034 is a wasteful number, since it uses less digits than its factorization.

2504102034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4495.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2504102034 is about 50041.0035271076. The cubic root of 2504102034 is about 1357.9507115605.

Adding to 2504102034 its reverse (4302014052), we get a palindrome (6806116086).

The spelling of 2504102034 in words is "two billion, five hundred four million, one hundred two thousand, thirty-four".