2605042944 has 360 divisors, whose sum is σ = 9010507968. Its totient is φ = 733224960.

The previous prime is 2605042931. The next prime is 2605042969. The reversal of 2605042944 is 4492405062.

2605042944 is a `hidden beast` number, since 2 + 60 + 504 + 2 + 94 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2605042899 and 2605042908.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 19014844 + ... + 19014980.

Almost surely, 2^2605042944 is an apocalyptic number.

2605042944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2605042944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505253984).

2605042944 is an abundant number, since it is smaller than the sum of its proper divisors (6405465024).

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

2605042944 is a wasteful number, since it uses less digits than its factorization.

2605042944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2605042944 is about 51039.6213152096. The cubic root of 2605042944 is about 1375.9573179477.

The spelling of 2605042944 in words is "two billion, six hundred five million, forty-two thousand, nine hundred forty-four".