2581692834 has 64 divisors (see below), whose sum is σ = 6256115712. Its totient is φ = 694526400.

The previous prime is 2581692833. The next prime is 2581692853. The reversal of 2581692834 is 4382961852.

It is not an unprimeable number, because it can be changed into a prime (2581692833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21379 + ... + 74969.

It is an arithmetic number, because the mean of its divisors is an integer number (97751808).

Almost surely, 2^2581692834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2581692834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3128057856).

2581692834 is an abundant number, since it is smaller than the sum of its proper divisors (3674422878).

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

2581692834 is a wasteful number, since it uses less digits than its factorization.

2581692834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53671.

The product of its digits is 829440, while the sum is 48.

The square root of 2581692834 is about 50810.3614826740. The cubic root of 2581692834 is about 1371.8338759811.

It can be divided in two parts, 258169 and 2834, that added together give a triangular number (261003 = T₇₂₂).

The spelling of 2581692834 in words is "two billion, five hundred eighty-one million, six hundred ninety-two thousand, eight hundred thirty-four".