2605029093540 has 192 divisors, whose sum is σ = 8195287296000. Its totient is φ = 686938589568.

The previous prime is 2605029093533. The next prime is 2605029093617. The reversal of 2605029093540 is 453909205062.

2605029093540 is a `hidden beast` number, since 2 + 6 + 0 + 5 + 0 + 290 + 9 + 354 + 0 = 666.

2605029093540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17441619 + ... + 17590341.

It is an arithmetic number, because the mean of its divisors is an integer number (42683788000).

Almost surely, 2^{2605029093540} is an apocalyptic number.

2605029093540 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 2605029093540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097643648000).

2605029093540 is an abundant number, since it is smaller than the sum of its proper divisors (5590258202460).

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

2605029093540 is a wasteful number, since it uses less digits than its factorization.

2605029093540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149103 (or 149095 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 2605029093540 in words is "two trillion, six hundred five billion, twenty-nine million, ninety-three thousand, five hundred forty".