2605525610040 has 160 divisors (see below), whose sum is σ = 8765901144000. Its totient is φ = 694137206016.

The previous prime is 2605525610033. The next prime is 2605525610053. The reversal of 2605525610040 is 400165255062.

2605525610040 is a `hidden beast` number, since 2 + 6 + 0 + 5 + 52 + 561 + 0 + 0 + 40 = 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 = 2605525609977 and 2605525610004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2979366 + ... + 3753354.

It is an arithmetic number, because the mean of its divisors is an integer number (54786882150).

Almost surely, 2^{2605525610040} is an apocalyptic number.

2605525610040 is a gapful number since it is divisible by the number (20) 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 2605525610040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382950572000).

2605525610040 is an abundant number, since it is smaller than the sum of its proper divisors (6160375533960).

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

2605525610040 is a wasteful number, since it uses less digits than its factorization.

2605525610040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775051 (or 775038 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 2605525610040 in words is "two trillion, six hundred five billion, five hundred twenty-five million, six hundred ten thousand, forty".